SOLUTION: It costs a pretzel vendor $20 per day to rent a cart and $0.75 for each pretzel. (A) Find the cost of selling x pretzels in 1 day. (B) What is the cost of selling 150 pretzels i

Algebra.Com
Question 1167622: It costs a pretzel vendor $20 per day to rent a cart and $0.75 for each pretzel.
(A) Find the cost of selling x pretzels in 1 day.
(B) What is the cost of selling 150 pretzels in 1 day?
(C) If the daily cost is $275, how many pretzels were sold that day?

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the formula for selling x pretzels in a day is:

y = 20 + .75 * x

if the number of pretzels sold is 150, then the formula becomes:

y = 20 + .75 * 150

solve for y to get:

y = 20 + 112.5 = 132.5

if the daily cost is 275, then the number of pretzels sold is calculated below.

start with 275 = 20 + .75 * x
subtract 275 from both sides of the equation to get:
255 = .75 * x
divide both sides by .75 to get:
340 = x

340 pretzels are sold if the total cost for the day is 275.

y = 20 + .75 * 340 = 275, confirming the solution is correct.


RELATED QUESTIONS

A pretzel vendor has determined that the number of pretzels he sells per day is inversely (answered by greenestamps)
A pretzel factory has a daily fixed cost of $2700. In addition, it cost 20 cents to... (answered by josmiceli)
three pretzels and one cup of soda costs $2.75. two pretzels and one cup of soda costs... (answered by stanbon)
At a snack bar, 3 pretzels and 1 can of soda costs 2.75. Two pretzels and 1 can of soda... (answered by richwmiller)
A piece of dough weighs 1.5 kilograms. Blake sets aside ⅓ of dough. He uses the... (answered by josgarithmetic)
at a concession stand, 9 slices of pizza and 5 soft pretzels cost a $33.25. if 4 slices... (answered by josgarithmetic)
The function P(x) = 0.65x - 57 models the relationship between the number of pretzels x... (answered by Solver92311)
The function P(X) = 0.65x - 57 models the relationship between the number of pretzels x... (answered by Solver92311)
The function P(100) = 0.65x - 57 models the relationship between the number of pretzels x (answered by josgarithmetic)