Question

A group of mountain climbers begins an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write a linear equation to find the total pounds of food (y) left after x days.

A) y = 250x - 12
B) y = 12x - 250
C) y = 250 - 12x
D) y = 12 - 250x

Answer 1

The linear equation to find the total pounds of food left after x days is y = 250 - 12x. This equation represents the starting amount of food minus the amount of food consumed each day multiplied by the number of days. For example, if you want to find the total pounds of food left after 5 days, you can substitute x = 5 into the equation and solve for y. Hence the correct answer is option A

Step-by-step explanation:

The linear equation to find the total pounds of food left after x days is y = 250 - 12x.

This equation represents the starting amount of food (250 pounds) minus the amount of food consumed each day (12 pounds per day) multiplied by the number of days (x). This will give you the total pounds of food left after x days.

For example, if you want to find the total pounds of food left after 5 days, you can substitute x = 5 into the equation: y = 250 - 12(5) = 250 - 60 = 190 pounds of food left.

Hence the correct answer is option A