Jake is comparing the prices of two laundry service companies. company a charges $20 per load and an additional $8 as service charges. company b charges $24 per load and an additional $4 as service charges.
part a: write equations to represent company a's and company b's total laundry charges for a certain number of loads. define the variable used in the equations.
part b: which company would charge less for 5 loads of laundry? justify your answer.
part c: how much money is saved by using the services of company a instead of company b to clean 9 loads of laundry?

Part A : 20x + 8 and 24x + 4

Part B : Company A charges less and compared to company B.

Part C : Using the services of company A saving is $32

Step-by-step explanation:

Jake is comparing the prices of two laundry service companies.

Part A:

Company A charges $20 per load and an additional $8 as service charges.

So the expression that represents the charges = 20x + 8

Similarly for company B the expression will be charges = 24x + 4

Here x represents the number of loads of the laundry.

Part B:

In this part we have to compare the charges for 5 loads of the laundry.

Charges of company A : 20x + 8 = 20×5 + 8 = $108

Charges of company B : 24x + 4 = 24×5 + 4 = $124

Therefore, company A charges less.

Part C :

Company A charges for 9 loads = 20×9 + 8 = $188

and company B charges for 9 loads = 24×9 + 4 = $220

Saving by using the services of company A instead of company B

= 220 - 188

= $32

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.