Question

Keith has to move to a new apartment. He hires a truck to move his belongings. The truck can carry 1,000 pounds of weight in one trip. He needs to transport 10 pieces of furniture and 5 electronic items. Assume that the truck has enough room to carry all of these items in one trip. Let f represent the average weight of each furniture item, in pounds, and let e represent the average weight of each electronic item, in pounds. Choose the inequality that symbolizes this situation.

Answer 1

Let "f" represent the average weight of each furniture item, in pounds

Let "e" represent the average weight of each electronic item, in pounds

He needs to transport 10 pieces of furniture

total weight of furniture is

`=10* f`

`=10f`

He needs to transport 5 electronic items

total weight of electronics item is

`=5* e`

`=5e`

now, we can find total weight

total weight = total weight of furniture + total weight of electronics item

Total weight = 10f+5e

and we are given

The truck can carry 1,000 pounds of weight in one trip

so, we get inequality as

`5e+10f\leq 1000`..............Answer