Jimmy goes to the farmer's market to get some pears. The particular type of pears he likes costs $2.35 per pound. If he can only spend $10 or less, how many pounds can he buy?

The inequality would be Response area

Jimmy could by Response area pounds of pears.

options for the response areas:
2
3
4
5
2.35x > 10
2.35x < 10
10x > 2.35
10x > 2.35
2.35x > 10

1 answer

To determine how many pounds of pears Jimmy can buy, we can set up the inequality based on the cost of the pears per pound and the maximum amount he can spend.

Let \( x \) be the number of pounds of pears Jimmy can buy. The inequality representing his budget constraint is:

\[ 2.35x \leq 10 \]

Next, let's solve for \( x \):

\[ x \leq \frac{10}{2.35} \]

Calculating this gives:

\[ x \leq 4.2553 \]

Since he cannot buy a fraction of a pound in this context, we round down to the nearest whole number:

\[ x \leq 4 \]

So, the answer would be:

  • The inequality would be 2.35x ≤ 10
  • Jimmy could buy 4 pounds of pears.