Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired
-Mike Cost:: M(3) = 100 +65*3 = $295
-Amy Cost:: A(3) = 40 + 80*3 = $280
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-Mike charges 100 dollars service charge plus 65 dollars per hour.
-Amy charges 40 dollars service charge plus 80 dollars per hour.
-The cost to repair from mike is 100 + 65 * x.
-The cost to repair from amy is 40 + 80 * x.
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Let x = 3 and you get:
The cost to repair from mike is 100 + 65 * 3 = 295 dollars.
The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.
As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.
Answer:
y = (1/2)x + 2 1/2
Step-by-step explanation:
y - 3 = (1/2)(x - 1)
Distribute the 1/2
y - 3 = (1/2)x - 1/2
Add 3 to both sides
y = (1/2)x + 2 1/2
Answer:
x=−2
Step-by-step explanation:
1 Expand.
6-2x-12=3x+4
6−2x−12=3x+4
2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.
-2x-6=3x+4
−2x−6=3x+4
3 Add 2x2x to both sides.
-6=3x+4+2x
−6=3x+4+2x
4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.
-6=5x+4
−6=5x+4
5 Subtract 44 from both sides.
-6-4=5x
−6−4=5x
6 Simplify -6-4−6−4 to -10−10.
-10=5x
−10=5x
7 Divide both sides by 55.
-\frac{10}{5}=x
−
5
10
=x
8 Simplify \frac{10}{5}
5
10
to 22.
-2=x
−2=x
9 Switch sides.
x=-2
x=−2
