Question

If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain? Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers. (1 point) ​

Answer 1

Given :

Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.

To Find :

How many hours must have passed if there are 5 inches of rain .

Solution :

Let , after x hours rain accumulated is 5 inches .

We know , general equation of line :

y = mx +c

Here , m = 0.5 and c = 1 .

So , equation of rain accumulated is :

$y=0.5x+1$

Now , putting value of x = 5 hours .

We get :

$y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches$

Hence , this is the required solution .