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At the end of a snowstorm, Katherine had 18 inches of snow on her 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 Katherine have on her lawn 4 hours after the snow began to melt? How much snow would Katherine have on her lawn after t hours of snow melting?

Respuesta :

Histrionicus

After 4 hours of snow melting, there would be 8 inches of snow with the rate of 2.5 inches per hour Katherine would have on her lawn and after t hours the snow would be = 18 - 2.5*t inches.

In this question, the amount of snow melted is required to calculate to know the amount of snow on the lawn, can be calculated by:

  • the melted amount = rate of melting × time

Given:

The total amount of snow = 18 inches

Rate of melting = 2.5 inches

Time = 4 hours

Solution:

The amount melted needs to be calculated first in order to find left snow, therefore, putting values in the formula mention above,

the melted amount = rate of melting × time

the melted amount = 2.5 × 4 inches

the melted amount = 10 inches

Then the final amount would have on the lawn =  starting amount−melted snow

=  18−10 inches

= 8 inches

Part b) Snow after t hours:

Starting amount=  18 inches

Melted snow=  inches per hour×t

= 2.5×t

= 2.5t

Final amount = starting amount−melted snow

= 18 -2.5t

Thus, the correct answer is - 8 inches and 18 -2.5t

Learn more:

https://brainly.com/question/19122325

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