9. According to the graph%2C which of these statements is%2Fare true%3F Check all that apply. (2 points) Responses Bill Gates has the same y - intercept as the entry level worker Bill Gates has the same y - intercept as the entry level worker The plumber initially earns more money than the lawyer%2C but the lawyer earns more as more hours are worked. The plumber initially earns more money than the lawyer%2C but the lawyer earns more as more hours are worked. The entry level worker has the same slope as the lawyer. The entry level worker has the same slope as the lawyer. The plumber has a steeper rate of change than the entry level worker. The plumber has a steeper rate of change than the entry level worker. The lawyer has a greater initial amount of earnings than the plumber.
According to the given information, the following statements are true:
- The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.
- The lawyer has a greater initial amount of earnings than the plumber.
Therefore, the correct statements are:
- The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.
- The lawyer has a greater initial amount of earnings than the plumber.
8. Match the description with the correct Function. Function A%3A Function B%3A x y 0 1 4 9 8 17 Function C%3A y%3Dx%2B20 (4 points) Put responses in the correct input to answer the question. Select a response%2C navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar%2C enter key%2C left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Function with the greatest rate of change Function with the smallest y-intercept Which function would benefit you the most if it represented your money earned per hour%3F Function with the highest initial amount of money
Function A: x y
0 1
4 9
8 17
Function B: y=x+20
Function C: Not provided
The correct match for the descriptions is as follows:
- Function with the greatest rate of change: Function B (y=x+20)
- Function with the smallest y-intercept: Function A (x y)
- Which function would benefit you the most if it represented your money earned per hour? Function B (y=x+20)
- Function with the highest initial amount of money: Not provided
10. Change the equation from standard form to slope-intercept form by solving for y. 11x−8y%3D−48 Bob's work%3A −8y%3D−59x y%3D7.375 Bill's work%3A −8y%3D−11x−48 y%3D118x%2B6 Bud's work%3A −8y%3D−11x−48 y%3D−11x%2B6 Who solved for y correctly%3F (1 point) Responses None of them are correct None of them are correct Bob Bob Bill Bill Bud Bud Question 2 11. Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.(4 points) Put responses in the correct input to answer the question. Select a response%2C navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar%2C enter key%2C left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. What is the rate of change (slope) for this scenario%3F Response area b. What is the y-intercept for this scenario%3F Response area c. Write an equation for the scenario in slope-intercept form. Response area d. Write this equation in standard form. Response area
To change the equation from standard form to slope-intercept form by solving for y, we need to isolate y on one side of the equation.
11x - 8y = -48
Let's solve for y:
11x - 8y = -48
-8y = -11x - 48 (subtract 11x from both sides)
y = (11/8)x + 6 (divide both sides by -8)
The correct answer is Bud. Bud solved for y correctly, as y = -11x + 6.
11. Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. What is the rate of change (slope) for this scenario? Response area b. What is the y-intercept for this scenario? Response area c. Write an equation for the scenario in slope-intercept form. Response area d. Write this equation in standard form. Response area
a. The rate of change (slope) for this scenario can be calculated using the formula: slope = (change in y) / (change in x). In this case, the change in y is 62 - 22 = 40 feet, and the change in x is 10 - 0 = 10 days. Therefore, the slope is 40 / 10 = 4 feet per day.
b. The y-intercept for this scenario is the starting water level before the rain began, which is 22 feet.
c. To write an equation for the scenario in slope-intercept form, we can use the slope (4) and the y-intercept (22). The equation will be: y = 4x + 22.
d. To write this equation in standard form, we need to rearrange it to have the x and y terms on the same side and the constant term on the other side. The standard form is typically given as: Ax + By = C, where A, B, and C are constants. In this case, the equation can be rearranged as: 4x - y = -22.
12. Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. Given the two points we know%3A (3%2C 34) and (10%2C 62)%2C what would the point-slope equation look like%3F (1 point) Responses (y - 34) %3D 4 (x - 10) (y - 34) %3D 4 (x - 10) (y - 3) %3D 4 (x - 34) (y - 3) %3D 4 (x - 34) (y - 34) %3D 4 (x - 3) (y - 34) %3D 4 (x - 3) (y - 10) %3D 4 (x %2B 62)
To find the point-slope equation given the two points (3, 34) and (10, 62), we can use the formula: y - y1 = m(x - x1), where (x1, y1) is one of the given points and m is the slope.
First, let's calculate the slope:
m = (change in y) / (change in x) = (62 - 34) / (10 - 3) = 28 / 7 = 4.
Using the point (3, 34), the equation becomes:
y - 34 = 4(x - 3).
Therefore, the point-slope equation is:
(y - 34) = 4(x - 3).