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?

The equation represents this situation

Kyle earns  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

For w=10 weeks

----> equation that represent the situation

solve for k

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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is