Question

A truck that can carry no more than 7200 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 10 pianos overload the​ truck? Explain.

Answer 1

The inequality representing the weight constraint of the truck is:

250r + 425p ≤ 7200

To determine if 13 refrigerators and 10 pianos will overload the truck, substitute the values into the inequality:

250(13) + 425(10) ≤ 7200

Simplifying:

3250 + 4250 ≤ 7200

7500 ≤ 7200

Since 7500 is not less than or equal to 7200, 13 refrigerators and 10 pianos will overload the truck.

Answer 2

Yes.

Step-by-step explanation:

Refrigerators: 250x13=3250

Pianos: 425x10=4250

Total: 3250+4250=7500

7200 < 7500, so yes, 13 refrigerators and 10 pianos will overload the truck.