A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately . by 3:30 pm, the warehouse contains 90 boxes. supposes the boxes are unloaded at a constant rate. write a formula that shows that total number of boxes in the warehouse as a function of time where Q(t) is the total number of boxes, and t is the time since noon.
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The function that shows this situation is given by Q(t) = 3.5t + 55

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let Q(t) represent the total number of boxes, and t is the time since noon in hours.

A warehouse contains 55 boxes, hence b = 55. At 3:30 pm (3.5 hours), the warehouse contains 90 boxes.

90 = 3.5m + 55

m = 10

The function that shows this situation is given by Q(t) = 3.5t + 55

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