Question

16. 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?

Answer 1

The slope of the line is 14 pounds per day

Explanation:

We are given that The local hiking club went on a 7-day hiking trip to Denali National Park.

The group started with 98 pounds

We are also given that the decreasing amount of food each day is modeled by a linear function

On Day 1 amount of food = 98 pounds

Since day 7 was the last day

So, On Day 8 amount of food = 0

So,
`(x_1,y_1)=(1,98)`

`(x_2,y_2)=(8,0)`

Slope = Constant Rate of change per unit

Slope =
`(y_2-y_1)/(x_2-x_1)=(0-98)/(8-1)`

So, Slope =
`(-98)/(7)`

Slope = - 14

Negative sign shows decreasing amount of food each day

Hence the slope of the line is 14 pounds per day