Question

9 multiple choice 1 point lena has a $600 gift card to a furniture store. she already spent $75 on a lamp. she wants to buy some chairs that cost $65 each. if the inequality 65x + 75 ≤ 600 represents the situation, how many chairs can lena buy without going over the card limit? 8 10 12 9

Explanation:

Step1: Isolate the term with x

Subtract 75 from both sides of the inequality $65x + 75\leq600$.
$65x+75 - 75\leq600 - 75$
$65x\leq525$

Step2: Solve for x

Divide both sides of the inequality by 65.
$x\leq\frac{525}{65}=\frac{105}{13}\approx8.077$
Since x represents the number of chairs and must be a whole - number, the largest whole - number less than or equal to $\frac{105}{13}$ is 8.

Answer:

8