Ada and Steve spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x) : Function 1: Number of Weeks (x) Amount Remaining (dollars) (y) 1 40 2 36 3 32 4 28 The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x: Function 2: y = - 5x + 40 Which statement explains which function shows a greater rate of change?

Question

Mathematics

Ashly Huffman

22 March, 14:03

Ada and Steve spend a certain amount of money from their accounts each week at a pet shelter. The table shows the relationship between the amount of money (y) remaining in Ada's account and the number of weeks (x) : Function 1: Number of Weeks (x) Amount Remaining (dollars) (y) 1 40 2 36 3 32 4 28 The equation shows the relationship between the amount of money, y, remaining in Steve's account and the number of weeks, x: Function 2: y = - 5x + 40 Which statement explains which function shows a greater rate of change?

+2

Answers (2)

Know the Answer?

Pumpkin · Answer 1

S

Step-by-step explanation:

A: x 1 2 3 4

y 40 36 32 28

Slope is - 4 because the y-value changes by - 4 each time for every change of in x. The y-intercept (when x = 0) is another change of - 4, so it's 40+4 = 44. The equation is y=mx+b, which is

y=-4x+44.

S: y=-5x + 40

Rate of change is the absolute value of the slope.

A: |-4| = 4

S: |-5| = 5

S has a greater rate of change.

I'm not what kind of sentence your teacher wants, but you can put that together.

Julissa · Answer 2

Function 2 has a greater rate of change

Step-by-step explanation:

Function 1:

Number of Weeks (x) 1 2 3 4

Amount Remaining (dollars) (y) 40 36 32 28

We can find the slope by using

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

= (40-36) / (1-2)

= 4/-1

= - 4

Function 2:

y = - 5x + 40

Using y = mx+b

The slope is - 5

Function 2 has a greater rate of change