The owner of a photocopy store charges 9 cents per copy for the first 100 copies and 6 cents per copy for each copy exceeding 100. In addition, there is a setup fee of $1.60 for each photocopying job.

(a) Determine R(x), the revenue from doing one photocopying job consisting of x copies.
(b) If it costs the store owner 4 cents per copy, what is the profit from doing one photocopying job consisting of x copies?

a) The revenue function, in $, is given by

b) The profit function is $ is given by

Step-by-step explanation:

a) For a value of x less than or equal to 100, we have that the revenue function (in $) is

.

For x = 100 therefore, we have that

And for x = 100+k, for k positive, we have that the first 100 copies will cost as usual, but the remaining only will cost $0.06, thus

With this information we can conclude that

(Note that x should satisfy x≥0, otherwise the function woudlnt make sense)

b) The profit function p(x) can be obtained from R(x) by substracting the cost of making x copies, which is . This way, p(x) = R(x) -0.04x is given as follows

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

answer:   y=2x-3

step-by-step explanation: