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aleikebanks
28.06.2019 •
Mathematics
The function c(t)=8t+10 gives the amount c (in dollars) that you pay when you rent a kayak flr $10 and use it for time t (in hours). write and interpret that inverse of this function
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Ответ:
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).
For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.
y=8x+10
x=8y+10
x-10=8y
This is the inverse function, We replace (x,y) with (c,t).
Ответ: