The function c(t) =8t +10 Gives the amount c (in dollars) That you pay when you rent a kayak for $10 and use it for time t (in hours). Write AND interpret the inverse of this function.

whosmans Nov 2, 2018

#1**+1 **

c(t) = 8t + 10

For c(t), write c.... and we have

c = 8t + 10 subtract 10 from both sides

c - 10 = 8t divide both sides by 8

[ c - 10 ] / 8 = t and this is the inverse

We can think of the original function as having the coordinates = ( hours, total cost ) = ( t, c)

So..if we use the kayak for t hours. it costs c dollars

The inverse reverses these so that we have = ( total cost , hours ) = (c , t)

So...what the inverse is saying is that if it costs c amount to rent the kayak....we must use it for t hours

CPhill Nov 2, 2018