Question

1) Caleb earned $28 for 4 hours of work. How much will he earn if he works 1 for 7 hours? (HINT: Make a table!) $16 or $39 or $49 or $ 56​

Answer 1

The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.

Explanation:

We know that the data points given by (x,y) are in direct variation if:

for each (x,y)

We are given data as:

Caleb’s Earnings Hours(x) 12 15 18 21

Earnings (in dollars)(y) 140 170 200 230

So, we could see the ratio as:

Hence, we could see that each ratio are not equal.

Hence, the relationship between the earnings and the number of hours does not represents a direct variation.

Answer 2

Explanation:

First, figure out how much he makes each hour. To do this, we divide 28 by 4 which is 7. This means he makes 7 dollars an hour.

1 7

2 14

3 21

4 28

5 35

6 42

7 49

This goes on and on, but we need to know how many he makes for 7 hours. The answer is 49!