Multiple Choice Which table of values can be used to graph the function y = –4x + 3? (1 point) Responses The table has 4 rows of x y coordinates. Row 1 x equals negative 1 and y equals negative 1. Row 2 x equals 0 and y equals 3. Row 3 x equals 1 and y equals 7. Row 4 x equals 2 and y equals 11. Image with alt text: A table of values shows the following coordinates: (–1, –1), (0,3), (1,7), and (2,11). The table has 4 rows of x y coordinates. Row 1 x equals negative 1 and y equals negative 1. Row 2 x equals 0 and y equals 3. Row 3 x equals 1 and y equals 7. Row 4 x equals 2 and y equals 11. A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers negative 3, negative 1, 1, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers negative 9, negative 1, 7, and 15. Image with alt text: A table of values shows the following coordinates: (–3,–9), (–1,–1), (1,7), and (3,15). A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers negative 3, negative 1, 1, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers negative 9, negative 1, 7, and 15. A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers 0, 1, 2, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers 3, negative 1, negative 5, and negative 9. Image with alt text: A table of values Shows the following coordinates: (0,3), (1,–1), (2,–5), and (3,–9). A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers 0, 1, 2, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers 3, negative 1, negative 5, and negative 9. A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers 0, 1, 2, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers 3, 7, 11, and 15. Image with alt text: A table of values shows the following coordinates: (0,3), (1,7), (2,11), and (3,15). A table with 5 rows and 2 columns is shown. The first row of the first column has an x. The next 4 rows of the first column have the numbers 0, 1, 2, and 3. The first row of the second column has a y. The next 4 rows of the second column have the numbers 3, 7, 11, and 15.

The correct answer is: A table of values shows the following coordinates: (0,3), (1,7), (2,11), and (3,15).

A function's graph may include solutions that do not appear in its table of values.

(1 point)
true
false

True

The total cost c a painter charges to paint a house

depends on the number h of hours it takes to paint the
house. This situation can be represented by the function
rule c = 15h + 245. What is the total cost if the painter
works for 30.25 hours?
(1 point)
$245.00
$453.75
$572.75
$698.75

To find the total cost, we need to substitute the value of h into the function equation c = 15h + 245.

c = 15(30.25) + 245
c = 453.75 + 245
c = 698.75

Therefore, the total cost if the painter works for 30.25 hours is $698.75.

Choose the correct graph of the function y = x3 + 1. (1 point) Responses The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. Image with alt text: A graph shows a curve with points at (–2, –8), (–1, –1), (0, 0), (1, 1), and (2, 8). The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma 8 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma negative 1 right-parenthesis, and left-parenthesis 2 comma negative 8 right-parenthesis. The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. To enable screen reader support, press Ctrl+Alt+Z To learn about keyboard shortcuts, press Ctrl+slash The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. To enable screen reader support, press Ctrl+Alt+Z To learn about keyboard shortcuts, press Ctrl+slash Image with alt text: A graph shows a curve with points at (–2, 8), (–1, 1), (0, 0), (1, –1), and (2, -8). The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma 8 right-parenthesis, left-parenthesis negative 1 comma 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma negative 1 right-parenthesis, and left-parenthesis 2 comma negative 8 right-parenthesis. The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. To enable screen reader support, press Ctrl+Alt+Z To learn about keyboard shortcuts, press Ctrl+slash The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 8 right-parenthesis, left-parenthesis negative 1 comma negative 1 right-parenthesis, left-parenthesis 0 comma 0 right-parenthesis, left-parenthesis 1 comma 1 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis. To enable screen reader support, press Ctrl+Alt+Z To learn about keyboard shortcuts, press Ctrl+slash The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 7 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis 1 comma 2 right-parenthesis, and left-parenthesis 2 comma 9 right-parenthesis. Image with alt text: A graph shows a curve with points at (–2, –7), (–1, 0), (0, 1), (1, 2), and (2, 9). The graph of function is shown on the coordinate plane. The function passes through the points left-parenthesis negative 2 comma negative 7 right-parenthesis, left-parenthesis negative 1 comma 0 right-parenthesis, left-parenthesis 0 comma 1 right-parenthesis, left-parenthesis 1 comma 2 right-parenthesis, and left-parenthesis 2 comma 9 right-parenthesis.

The correct answer is: A graph shows a curve with points at (–2, –7), (–1, 0), (0, 1), (1, 2), and (2, 9).

A movie store sells DVDs for $11 each. What is the cost C of n DVDs? Identify the situation as

discrete or continuous.
(1 point)
C = 11n; continuous
C = 11 + n; discrete
C = 11 + n; continuous
C = 11n; discrete

The cost C of n DVDs can be represented by the equation C = 11n.

Since the number of DVDs, n, can take on any non-negative integer value, the situation is discrete.

Therefore, the correct answer is: C = 11n; discrete.

To determine which table of values can be used to graph the function y = -4x + 3, we need to compare the given options with the equation.

The equation y = -4x + 3 is in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

Let's analyze the options one by one:

Option 1: A table of values shows the following coordinates: (-1, -1), (0, 3), (1, 7), and (2, 11). This option is a potential candidate because the y-values are obtained by substituting the x-values into the equation.

Option 2: A table of values shows the following coordinates: (-3, -9), (-1, -1), (1, 7), and (3, 15). This option does not match the equation y = -4x + 3. The y-values are not calculated correctly.

Option 3: A table of values shows the following coordinates: (0, 3), (1, -1), (2, -5), and (3, -9). This option does not match the equation y = -4x + 3. The y-values are not calculated correctly.

Option 4: A table of values shows the following coordinates: (0, 3), (1, 7), (2, 11), and (3, 15). This option is a potential candidate because the y-values are obtained by substituting the x-values into the equation.

Now, we have two potential candidates: Option 1 and Option 4.

To decide between the two, we can calculate the slope of the line.

The slope (m) of the function y = -4x + 3 is -4.

In Option 1, the difference in y-coordinates between each pair of consecutive points is -1, +4, +4, which means the slope is not -4. Therefore, Option 1 is not correct.

In Option 4, the difference in y-coordinates between each pair of consecutive points is +4, +4, +4, which indicates a slope of -4. Therefore, Option 4 is correct.

Therefore, the table of values that can be used to graph the function y = -4x + 3 is as follows:
(0, 3), (1, 7), (2, 11), and (3, 15).