Question

Use the situation below to complete the table and answer the questions,

A gym employee is paid monthly. After working for three months, he had earned $4,500. To
determine how much money he will make over a six-month period, he created the table below.
TOTAL
EARNINGS
MONTH
1. If he continues to earn at the same rate, how
much will he have earned after working 5 months?
Y
X
1
1500
1500
2
1500
7500
2. After how many months will the gym employee
have made $ 19,500?
3000
4500
3
1500
4
6000
1500
5
150r
7500
9000
6
1500
13
3. Write an equation to represent the constant of
proportionality
y=150x

Answer 1

t = 13

Explanation:

3 months ------ 4500

6 months ------ x

3/6 = 4500/x

cross multiplation:

3x =27000

x = 9000,or we should have just doubled the wages, since the time doubled

3 months ------ 4500

5 months ------ y

3/5 = 4500/y

3y = 22500

y = 7500

3 months ------- 4500

t months -------- 19500

3/t = 4500/19500 = 3/13

3t = 39

t = 13