Question

Write an expression to show how much it costs per week to keep the 8 adults, where x is the number of pounds one adult eats in a day. Simplify your expression.

a) 8x/7
b) 7x/8
c) x/7
d) 8x/5

Answer 1

The expression for the weekly cost of feeding 8 adults, where each adult eats x pounds per day, is 8x/7. Option A is answer.

Step-by-step explanation:

1. Cost per adult per day:

Each adult eats x pounds of food per day.

Let c be the cost per pound of food.

Therefore, the cost per adult per day is:

Cost per adult per day = x * c

2. Total daily cost:

There are 8 adults.

Multiply the cost per adult per day by the number of adults to find the total daily cost:

Total daily cost = 8 * (x * c) = 8xc

3. Weekly cost:

A week is 7 days.

Multiply the daily cost by 7 to find the weekly cost:

Weekly cost = 7 * 8xc = 56xc

4. Simplified expression:

Factor out the 8 and x to obtain the simplified expression:

Weekly cost = 8x * c = 8x/7

Therefore, the simplified expression showing the weekly cost of feeding the 8 adults is 8x/7.

Option A is the answer.