Rodney is reading a 500-page encyclopedia for her Science Reading Club. He reads 40 pages each hour. Construct a function that models the number of pages, P, Rodney has left to read after t hours of reading.

P = 500 - 40t

Step-by-step explanation:

P is the number of pages has left to read

the initial value is 500

the rate of change is 40 pages per hour (t)

you must subtract from the initial

The equation is P = initial - 40t or

P = 500 - 40t

To check, at 0 hours you have 500 pages or P = 500 - 40(0)

at 10 hours, P = 500 - 40(10) = 500 - 400 = 100

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get