Tyrone has $500 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $100 a year. Under plan B, he will increase his account balance by 15% each year. How much more will he save with Plan B after 10 years?

Step-by-step explanation:

Let

x ---> the number of years

y ---> the amount in the account balance

Plan A

we have a linear equation of the form

where

The slope is equal to

The y-intercept or initial value is

substitute

For x=10 years

substitute

Plan B

we have a exponential growth function of the form

where

substitute

For x=10 years

substitute

Find the difference of the two account balances after 10 years

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a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .