Question

A meteorologist monitors the steady snowfall for a report on the news. After 2 hours, there are 10 inches of snow on the ground. There are 12 inches of snow 2 hours later. Write a linear function rule for y, the depth of the snow on the ground, after any number of hours x. If the meteorologist started measuring the snow at noon, how deep will the snow be when the news airs at 6 P.M?

Answer 1

Answer:

14 inches

Step-by-step explanation:

x = number of hours

y = depth of the snow on the ground

Formula:

y = ax + b

Informations: when the monitors started, there are a quantity of inches on the ground. 2 hours later, there are 10 inches. Then:

10 = 2a + b

2 hours later, there are 12 inches:

4a + b = 12

a and b, in both equations, are the same value. Then:

{2a + b = 10

{4a + b = 12

{- 2a - b = - 10

{4a + b = 12

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2a = 2

a = 1

2a + b = 10

2.1 + b = 10

2 + b = 10

b = 10 - 2

b = 8

Then, the linear function rule is:

y = x + 8

At noon, x = 0.

At 6 P.M, x = 6

Changing x for 6 in linear function rule:

y = 6 + 8

y = 14

I hope I've helped you.