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

Number of
Month Amount Saved ($)
0 25
1 45
2 65
3 85

Select the options that correctly complete the sentences.

greather or less than -----answer

Ryan's rate of change is ________ Taylor's rate of change .

Ryan'sstaring balanced is_______ Taylor's starting balanced.​

Answer 1

We want to compare the rates of change and starting balances of Ryan and Taylor, the correct answers are:

• "Ryan's rate of change is _less than_ Taylor's rate of change."
• "Ryan's starting balance is greater than Taylor's starting balance.​"

So we know that Ryan's savings plan can be modeled by:

S(m) = 15*m + 50.

This means that he starts with 50, and saves 15 per month, then:

• Ryan's rate of change = 15 per month
• Ryan's initial balance = 50

For Taylor we have a table:

month    amount saved:

0                 25

1                  45

2                 65

3                 85

So, in month 0 he has 25, thus, his initial balance is 25.

And each month the amount saved increases by 20, then the equation is:

T(m) = 20*m + 25

Then we have:

• Taylor's rate of change = 20 per month.
• Taylor's initial balance = 25

Now we can see that:

"Ryan's rate of change is _less than_ Taylor's rate of change."

"Ryan's starting balance is greater than Taylor's starting balanced.​"

If you want to learn more about rates of change, you can read:

https://brainly.com/question/18904995