Kyle is saving money to buy a bicycle.He has 45.50 in his savings account and saves account and saves 15% of his paper route earnings each week.After 10 weeks,he has $90.50 im his savings account.Let K represent the amount kyle earns each week from his parents route.

Given : Kyle is saving money to buy a bicycle.He has 45.50 in his savings account and saves account and saves 15% of his paper route earnings each week.After 10 weeks,he has $90.50 im his savings account.Let K represent the amount kyle earns each week from his parents route.

To find : Choose True or False for each statement ?

Solution :

Let k be the amount Kyle earns each week from his paper route

and w be the number of weeks.

According to question,

[tex]45.50+0.15wk=90.50[/tex]

For w=10 weeks,

[tex]45.50+0.15(10)k=90.50[/tex]

[tex]0.15(10)k=90.50-45.50[/tex]

[tex]1.5k=45[/tex]

[tex]k=\$30[/tex]

Case A) The equation 45.5 +0.15(10k) = 90.5 represents this situation.

The statement is True.

Case B) The equation 45.5 + 0.15k + 10 = 90.5 represents this situation.

The statement is False.

Case C) Each week, Kyle saves $5.00.

The statement is False.

Case D) Each week, Kyle saves $4.50.

The statement is False.

Case E) Kyle earns $30.00 each week from his paper route.

The statement is True.

Case F) Kyle earns $45.00 each week from his paper route.

The statement is False.

Therefore, option A and E is correct.