Question

Your goal is to spend less than $450 on a trip. So far, you have spent $75 dollars on gas for your car. You will spend $100 each day on other expenses. Let d represent the number of days for your trip. Write an inequality and solve.

Answer 1

`100d+75<450`

`d<3.75`

Explanation:

You know that you need to spend less than $450 on the trip (<450).

You already have spent $75.

You have a cost that varies in function of the amount of days "d". This cost is:

`100d`.

Therefore, the sum of this cost should be less than 450.

Then, the inequality is:

`100d+75<450`

To solve it, subtract 75 from both sides of the equation and then divide both sides by 100:

`100d+75-(75)<450-(75)\\\\100d<375\\\\(100d)/(100)<(375)/(100)\\\\d<3.75`

Answer 2

75 + 100(d) < $450

d < 3.75

Explanation:

Given in the question,

amount already spent on gas for car = $75

suppose number of days = d

You will spend $100 each day on other expenses.

Equation1

100(d)

Equation2

$75 + 100(d) < $450

Solve the inequality

100(d) < $450 - $75

100(d) < 375

d < 375/100

d < 3.75