(05.02 LC)
Which equation does the graph below represent? (5 points)
A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 16 and 0, 0 and 4, 16.
y = fraction 1 over 4 + x
y = fraction 1 over 4x
y = 4 + x
y = 4x
The equation that represents the graph is y = 4x.
The figure shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 15 to positive 15 in increments of 3 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 12, negative 4, and 0, 0, and 12, 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to negative 6, negative 2 labeled A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to negative 6, negative 2. Another shaded right triangle is formed with the hypotenuse from negative 6, negative 2 to negative 9, negative 3 labeled B, one leg is from negative 6, negative 2 to negative 6, negative 3, and the second leg is from negative 9, negative 3 to negative 6, negative 3.
Which statement about the slope of the line is true? (5 points)
It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
The correct statement about the slope of the line is:
The slope from point O to point A is three times the slope of the line from point A to point B.
The equation shows the relationship between x and y:
y = −8x + 3
What is the slope of the equation? (5 points)
−8
−5
3
8
The slope of the equation y = -8x + 3 is -8.
What is the initial value of the function represented by this graph? (5 points)
A coordinate grid is shown with x- and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 3 with the ordered pair 7, 6.
0
3
6
7
The initial value of the function represented by this graph is 3.
Kelly sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Kelly's total earnings, y, in dollars, from selling x bars of ice cream:
Ice Cream Sales and Earnings
Number of Bars Sold (x)
Total Earnings (dollars) (y)
0
50
1
52
2
54
3
56
Which equation best shows the relationship between x and y? (5 points)
y = 2x + 50
y = x + 52
y = 2x + 52
y = x + 50
The equation that best shows the relationship between x and y in this scenario is y = 2x + 50.
A cab company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown:
Cost Chart
Distance traveled (miles) (x)
Cost (dollars) (y)
0
5
1
8
2
11
What is the fixed amount charged? (5 points)
$3
$5
$8
$9