Question

mr. dawson is making a grocery budget for the month of april. he plans to split the budget equally among 4 shopping trips. to stay under budget, mr. dawson figures he should spend less than $180 each trip. let x represent how much mr. dawson wants to spend on groceries in april. which inequality describes the problem? \LXI0 \LXI1 solve the inequality. then, complete the sentence to describe the solution. mr. dawson wants to spend less than $\square$ on groceries in april.

Explanation:

Step1: Identify the inequality

Mr. Dawson wants to spend less than $180 per trip, and there are 4 trips. So the amount per trip is $\frac{x}{4}$, and it should be less than 180. So the inequality is $\frac{x}{4} < 180$.

Step2: Solve the inequality

To solve $\frac{x}{4} < 180$, multiply both sides by 4: $x < 180\times4$.
Calculate $180\times4 = 720$. So $x < 720$.

Answer:

The inequality is $\frac{x}{4} < 180$, and Mr. Dawson wants to spend less than $720 on groceries in April.