The stadium vending company finds that sales of hot dogs averages 34,000 hot dogs per game when the hot dogs sell for $2.50 each. for each 50 cent increase in the price, the sales per game drop by 5000 hot dogs.
a) assume x is the number of hot dogs and y is the price. find a linear price equation for the given data.
b) find the revenue function and the (x, y) coordinates for the maximum revenue.
c) what price per hot dog should the vending company charge to realize the maximum revenue?

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the 3rd on is correct

step-by-step explanation:

b). 4320 have a nice day