Question

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last,

Answer 1

Use the equation y=mx+b where m is the slope (how much it increases each time) and b is the y intercept (starting point).

Your equation would be: y=12x+0 because they eat 12 pounds each day and they start out having eaten 0 pounds.

To solve the equation, plug in the total amount of food for y and use algebra to solve for x:
250=12x
(divide by 12)
(250/12)=x
X=20.833

Their food would last approximately 20 days. (Make sure you round if required)