Question

Billy rakes leaves and cuts grass. Let a represent how much he earns and h represent the

number of hours worked. Which statement is true?
Billy earns more money raking leaves in one
hour than cutting grass for two hours.
Raking leaves:
a = 6h
Billy earns more money per hour cutting grass.
Cutting grass:
earned $25 for 4 hours
Billy earns the same amount per hour raking
leaves or cutting grass.
Billy earns more money per hour raking leaves.​

Answer 1

Second option is true

Explanation:

Billy earns $25 by cutting grass for 4 hours.

If Billy works ranking leaves for 4 hours, we can calculate his earnings using h = 4:

a = 6*h

a = 6*4 = $24

We can write an equation for cutting grass:

b = k * h

25 = k * 4

k = 25/4 = 6.25

First option:

ranking leaves in one hour -> a = 6*1 = $6

cutting grass in two hours -> b = 6.25 * 2 = $12.5

Second option: more money cutting grass: true, because the value 6.25 in the cutting grass equation is bigger than the 6 in the ranking leaves equation.

Third option: False, as shown above

Fourth option: False, as shown above.

Answer 2

Billy earns more money per hour cutting grass.

Explanation:

Notice that Billy earns $5 per hour ranking leaves, and he earns $6.25 per hour cutting grass.

This unit rate of 6.25 can be found by dividing $25 by 4 hours, becasue according to the problem, he earns $25 for every 4 hours.

`(25)/(4)=6.25`

Therefore, Billy earns more money per hour cutting grass.