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Novosadov [1.4K]
3 years ago
10

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 be

st model this situation?​
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0

Answer:

Linear decreasing function best model this situation and the required function is

f(x)=4x+18

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 the required function is f(x)=4x+18.

faust18 [17]3 years ago
4 0

Answer:

Linear Function

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

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