Question

Which of the following situations corresponds to the equation below?


`(1)/(3) x+8=18 (2)/(3)`

A. Keneda is packing some suitcases to take on a cruise. The cruise line allows each guest to bring up to three pieces of luggage with a limit on total weight. So far, she has packed 18 2/3 pounds worth of items. She can add 8 more pounds to her luggage to be at the cruise lines maximum allowable weight for lugguage, x. What is the maximum allowable weight, x?

B. Carmello is building a bridge out of balsa wood for a physics contest. His bridge already fits the dimensions needed for the contest and currently weighs 18 2/3 ounces. He has 3 pieces of balsa wood with a combined weight of 8 ounces that can be cut and added to the bridge as support beams to reach the contests maximum allowable weight, x. What is the maximum allowable weight, x?

C. Jesse gives piano lessons in the evenings for 20 minutes each. To be able to make her monthly car payment, she needs to give a total of 18 2/3 hours worth of lessons each month. If she have already given 8 hours worth of lessons this month, how many more lessons, x, does Jesse need to give?

D. Brenton has entered a mozzarella stick eating contest. Each order of mozzarella sticks contains 3 sticks. The record for the contest is 18 2/3 orders in the time allotted. If he has already eaten 8 orders, how many more mozzarella sticks, x, does he need to eat to tie the record?

E. Myron has been practicing throwing a football through a tire at 8 yards. His coach asked him to move back so he is throwing at a distance of 18 yards. How many feet, x, does Myron need to move back?

Answer 1

I think that is going to be C.

Because 20 minutes is 1/3 of an hr.

Answer 2

C, D, and E

Explanation:

To determine which situations can be modeled by the equation, determine if the situation requires the unknown value x to be multiplied by, then have 8 added to the result to get.

In the case of Myron practicing throwing a football through a tire, he needs to find a distance in feet, x, that when multiplied by to get yards, and then added to the 8 yards he is already throwing at is equal to a total distance of yards. This situation can be modeled by the following.

Therefore, this situation fits the given equation.

In the case of Jesse giving piano lessons, she needs to find the number of lessons, x, that when multiplied by to get hours, and added to the 8 hours of lessons she has already given is equal to a total of hours. This situation can be modeled by the following.

Therefore, this situation fits the given equation.

In the case of Brenton eating cheese sticks, he needs to find the number of cheese sticks, x, that when multiplied by to get the number of orders of cheese sticks, and added to the 8 orders he has already eaten is equal to a total of orders. This situation can be modeled by the following.

Therefore, this situation fits the given equation.

The situations that Myron, Jesse, and Brenton are involved in correspond to the equation.

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Hope this helps :D