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At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?

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xKelvin

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

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