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

Choose True or False for each statement.

A. The equation 45.5 +0.15(10k) - 90.5 represents this situation. True? or False?

B. The equation 45.5 + 0.15k + 10 = 90.5 represents this situation. True? or False?

C. Each week, Kyle saves $5.00. True? or False?

D. Each week, Kyle saves $4.50. True? or False?

E. Kyle earns $30.00 each week from his paper route. True? or False?

F. Kyle earns $45.00 each week from his paper route. True? or False?

Question

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Respuesta :

calculista calculista · Answer 1 · 2019-03-01T15:23:28+01:00

Answer:

The equation [tex]45.50+0.15(10)k=90.50[/tex] represents this situation

Kyle earns [tex]\$30[/tex] each week from his paper route

Step-by-step explanation:

Let

k------> the amount Kyle earns each week from his paper route

w----> number of weeks

we know that

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

For w=10 weeks

[tex]45.50+0.15(10)k=90.50[/tex] ----> equation that represent the situation

solve for k

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

[tex]1.5k=45[/tex]

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

Statements

case A) The equation 45.5 +0.15(10k) = 90.5 represents this situation. True? or False?

The statement is True

case B) The equation 45.5 + 0.15k + 10 = 90.5 represents this situation. True? or False?

The statement is False

case C) Each week, Kyle saves $5.00. True? or False?

The statement is False

case D) Each week, Kyle saves $4.50. True? or False?

The statement is False

case E) Kyle earns $30.00 each week from his paper route. True? or False?

The statement is True

case F) Kyle earns $45.00 each week from his paper route. True? or False?

The statement is False