Question

Ryan and Taylor are both saving money to buy new video game equipment. Ryan's savings plan can be modeled by the function s= 15m + 50 where m represents the number of months since Ryan started his plan, and s represents the amount of money saved in dollars. The table shown represents Taylor's savings plan.
Taylor's Savings Plan --- In the file (Picture).

a. Ryans rate of change is_________Taylor's rate of change.
b. Ryans starting balance is _________Taylor's starting balance.

Answer 1

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Recall:

• A linear function is modelled by the equation, y = mx + b, where m is the rate of change and b is the initial value (starting value).

• Rate of change = change in y/change in x

Ryan's Savings Plan Function:

s = 15m + 50

Thus, the starting value (starting balance) modelled by this function is $50

The slope/rate of change is $15 per month

Taylor's Savings Plan:

Given the table, the starting value will be the amount saved (initial value) at 0 number of months.

• Therefore, Taylor's starting balance is: $25

Using (0, 25) and (1, 45) find the rate of change:

• Rate of change = (45 - 25)/(1-0) = 20/1 = $20

In summary:

a. Ryan's rate of change is $15 per month;

Taylor's rate of change is $20 per month

b. Ryan's starting balance is $50;

Taylor's starting balance is $25.

Learn more about linear function on:

brainly.com/question/15602982