HELP BRANLIEST AND 15 POINTS


The director of a local ballet company needs to print the programs for the next performance. Janet’s Print Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee.
Which printing company offers the better deal if 200 programs are printed? Explain your reasoning.
​Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.

Respuesta :

Answer:

the Answer For Part A:

The Company that offers the better deal is The Printing Press since if we do 0.15 * 200 + 50 = $80 versus Janet’s Print Shop that charges $85 in total as we can see by the problem 0.25 * 200 + 35 = $85

Step-by-step explanation:

Answer:

the total cost of 200 copies at a rate of 0.25 cents a copy with a $30 are the same when 233 copies are ordered at 0.15 cents per copy plus the $50 set up fee.

Step-by-step explanation:

We can find the answer to this by comparing the prices:

200 x $0.25 + $35 = $85 this can be written in function notation as

f(x) = 200x + 35

If X = .25 then:

f(0.25) = 200(0.25) + 35 = 85

Using this same equation we can see that

f(0.15) = 200(0.15) + 50 = 80

Now we simply need to divide the difference between the two amounts by 0.15 to find the answer: 5/0.15 = 33.3--

The answer represented by an inequality is 200 < x < 233.

Also notice how the first has a lower y intercept but a steeper slope, and the second has a higher y intercept but less steep slope.