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

Answer:

The slope of the line is 14 pounds per day

Step-by-step 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 = $\frac{y_2-y_1}{x_2-x_1}=\frac{0-98}{8-1}$

So, Slope =$\frac{-98}{7}$

Slope = - 14

Negative sign shows decreasing amount of food each day

Hence the slope of the line is 14 pounds per day