Question

Slope and y-intercepts Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Determine the initial value and the rate of change in the following description. At a local festival, the entrance fee is $12 per person, and ride tickets cost $2 for every ride.(1 point) The initial value is b=, and the rate of change is m=. Skip to navigation page 26 of 27

Answer 1

Slope and y-intercepts Practice Complete this assessment to review what you've learned. It will not count toward your grade. 2 of 52 of 5 Items Question Determine the initial value and the rate of change in the following description. A 2,000-gallon tank is half full with 1,000 gallons of water. Water is being pumped into the tank at a rate of 15 gallons per minute.(1 point) The initial value is b=, and the rate of change is m=. Skip to navigation page 26 of 27 Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 2

Slope and y-intercepts Practice Complete this assessment to review what you've learned. It will not count toward your grade. 3 of 53 of 5 Items Question Use the table to answer the question. x y 1 4 −3 8 Find the rate of change and the initial value of the linear function given as a table of values. (1 point) The rate of change is m=, and the initial value is b=. Skip to navigation page 26 of 27

Answer 3

The initial value is b = $12, and the rate of change is m = $2.

Answer 4

The initial value is b = 1,000 gallons, and the rate of change is m = 15 gallons/minute.

Answer 5

To find the rate of change, we can use the formula:

m = (y2 - y1)/(x2 - x1)

Using the values from the table:
m = (8 - 4)/(-3 - 1)
m = 4/-4
m = -1

To find the initial value, we can choose any point from the table. Let's use (1, 4):
y = mx + b
4 = -1(1) + b
4 = -1 + b
b = 5

Therefore, the rate of change (m) is -1 and the initial value (b) is 5.