Question

FIRST ANSWER WILL RECEIVE BRAILIEST!!

A truck that can carry no more than 5900 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 200 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 8 pianos overload the​ truck?

Answer 1

the truck will over load with 13 refrigerators and 8 pianos

Explanation:

13 refrigerators is 2600 lbs

8 pianos is 4200 lbs

both added together is 6800 lbs

the truck can only hold 5900 so 13 refrigerators and 8 pianos is too heavy

Answer 2

• 200r +525p ≤ 5900
• see below for a graph
• yes, the truck would be overloaded

Explanation:

The weight of r refrigerators is 200r. The weight of p pianos is 525p. The total weight must not exceed 5900 lb. So, the total weight of r refrigerators and p pianos must satisfy ...

200r +525p ≤ 5900

In addition, we cannot have negative refrigerators or pianos, so we must also have ...

r ≥ 0

p ≥ 0

A graph is attached.

_____

The point (r, p) = (13, 8) is not in the solution space. 13 refrigerators and 8 pianos would overload the truck.