Question

A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. Which type of functions best models this situation?
A) exponential
B) linear
C) quadratic
D) radical

Answer 1

Answer:

Option B. Linear

$y=4x+18$

Step-by-step explanation:

Let

x----> the time in hours

y----> the total inches of snow on the ground

we know that

The function that best model this situation is the linear function

so

$y=mx+b$

In this problem

$m=4\frac{in}{h}$

$b=18\ in$ ----> the y-intercept

substitute

$y=4x+18$

Answer 2

Question:

A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. Which type of functions best models this situation?

A) exponential

B) linear

C) quadratic

D) radical

Answer & Step-by-step explanation:

It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.

If a function has constant rate of change, then the it is a linear function.

It the given case the rate of change is constant so linear function best model this situation.

The slope intercept form of linear function is

f(x)=mx+b           ... (1)

where, m is slope and b is y-intercept or initial value.

Ski resort has 18 inches of snow on the ground it means initial value is 18.

The snow is falling at a rate of 4 inches per hour. So, m=4.

Substitute m=4 and b=18 in equation (1).

f(x)=4x+18

Therefore Linear decreasing function best model this situation and the required function is f(x)=4x+18.

Hope this helps.