Question

Audrey's monthly car payment is $350 and she needs to save at least $35 each month for gas. If audrey is paid $17.50 an hour, write and solve an inequality to represent the number of hours she must work in a month the pay for her car payment and gas

Answer 1

SOLUTION

GIVEN

Audrey's monthly car payment is $350 and she needs to save at least $35 each month for gas. If audrey is paid $17.50 an hour

TO DETERMINE

Write and solve an inequality to represent the number of hours she must work in a month the pay for her car payment and gas

EVALUATION

Here it is given that Audrey's monthly car payment is $350 and she needs to save at least $35 each month for gas

The total amount of car payment and gas

= $ 350 + $ 35

= $ 385

Let the number of hours she must work in a month = x

Again it is given that Audrey is paid $17.50 an hour

So by the given condition

$\sf{17.50x \geqslant 385}$

Which is the required inequality

We now solve the inequality

$\sf{17.50x \geqslant 385}$

$\sf{ \implies \: x \geqslant 22}$

Hence the minimum number of hours she must work in a month = 22

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