Tim plans to spend 40 hours on exercise training to earn a private trainer license. He has saved $2,000 for training. Tim would

Question

3 years ago

11

Tim plans to spend 40 hours on exercise training to earn a private trainer license. He has saved $2,000 for training. Tim would

like to determine the most he can afford to pay per hour for training.
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Mathematics

1 answer:

guajiro [1.7K] · Answer 1 · 2022-04-21T13:34:54+03:00

The maximum amount Tim can afford to pay per hour of training is $50.

Step-by-step explanation:

Given,

Time to spend on exercise = 40 hours

Amount saved for training = $2000

Let,

x represent the cost per hour of training.

As Tim has saved $2000, it means he can spend the total amount or less than that on training, therefore,

Number of hours*Per hour cost ≤ Total amount saved

$40*x\leq 2000\\40x\leq 2000$

Dividing both sides by 40

$\frac{40x}{40}\leq \frac{2000}{40}\\x\leq 50$

Therefore,

The maximum amount Tim can afford to pay per hour of training is $50.

Keywords: inequality, division

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