i need help in this qustion

Question

the local hiking club went on a 7-day hiking trip to denali national park. the group started with 98 pounds and returned with no food. if the decreasing amount of food each day is modeled by a linear function, what is the slope of the line? – pounds per day

Answer 1

Let y = pounds of food.

Let x=days spent hiking.

At the beginning of the trip, x=0.

This problem can be modeled with a simple linear equation of the form y=mx+b.

On day 0, y=98. Substituting x and y into the equation, we have 98=m(0)+b.

This tells us that b=98.

We know that the slope, m, is negative because the amount of food is decreasing.

We know that on day 7, when x=7, the amount of food is 0. So, y=0, when x=7. Substituting, we have

0=7m+98

-98=7m, Dividing both sides by 7, we get

-14=m.

Therefore, the equation of the line is y=-14x+98.

Answer 2

A = 98 - 7d

Slope of -7