The cost of producing pots is the initial investment, $175, plus $3.50 in materials per pot. Therefore, the function C(p) = 175 + 3.5p defines the cost, C, of producing a number of pots, p. To the nearest cent, how much will it cost to produce 125 pots? (Enter only the number without the dollar sign, such as 25.03 for twenty-five dollars and 3 cents.)
i got 612.50
then follow up question asked
How many pots can be produced if the budget is limited to $450? (Enter only the number.)
i got 128 but i got it wrong can anyone help me?

Question

The cost of producing pots is the initial investment, $175, plus $3.50 in materials per pot. Therefore, the function C(p) = 175 + 3.5p defines the cost, C, of producing a number of pots, p. To the nearest cent, how much will it cost to produce 125 pots? (Enter only the number without the dollar sign, such as 25.03 for twenty-five dollars and 3 cents.) 
i got 612.50
then follow up question asked
How many pots can be produced if the budget is limited to $450? (Enter only the number.)
i got 128 but i got it wrong can anyone help me?

saifoo.khan · Answer

congrats, u r correct.

anonymous · Answer

i dont get it, it told me the 128 is wrong

saifoo.khan · Answer

Lol , i said about 612.

anonymous · Answer

450 = 175 + 3.5p
solve for p.

saifoo.khan · Answer

Smooth math, please post your problem on left

anonymous · Answer

Um... I'm not asking a question.

anonymous · Answer

I'm proposing a method of solving.

saifoo.khan · Answer

LOl, Sorry!

anonymous · Answer

Haha it's fine. Kind of funny actually.

anonymous · Answer

But yeah, you have 450 dollars to spend and the cost is represented in terms of p by C(p) = 175 +3.5p. Set this equal to 450 and solve for p.
This gives
450 = 175 + 3.5p
275 = 3.5p
p = 275/3.5

saifoo.khan · Answer

78.57

anonymous · Answer

Naturally you can't make .57 of a pot, so you only make 78.

anonymous · Answer

when i solve for p is about 78.57

anonymous · Answer

ok thanks

anonymous · Answer

My pleasure.