2. Euclid\'s Car Wash displays its charges as a graph. Write an equation for the

Question

2. Euclid's Car Wash displays its charges as a graph. Write an equation for the charge plan at Euclid's. Describe what the variables and numbers in your equation tell you about the situation Eudid's Car Wash Charges $16 512 $8 Equation: $4 $0 0 6 12 18 24 30 Time (min) Describe: 3. Use the function in the table at the right. a. Identify the dependent and independent variables. Water Used··· for Laundry , 1 load 2 loads 3 loads 4 loads 34 gallons 68 102 gallons b. Write a rule to describe the function. 136 gallons c. How many gallons of water would you use for 7 loads of laundry? d. In one month, you used 442 gallons of water for laundry. How many loads did you wash?

Explanation / Answer

Ans: Let the Charges be C (y axis) and time be T(x axis). Since it's a linear curve, we use the points (0, 4) & (6,6) . Slope is (6-4)/(6-0) = 2/6 = 1/3. So the equation of the line is y-4 = 1/3*(x-0) y = 4 + (1/3)*x. This equation tells us that charges increase linearly with time spent on washing the car.

3a) The load is the independent variable whereas the amount of water used depends on the load.

b) The table of water is a multiplication table of 34. Let load be "l" & water be W. Then function is W = 34*l

c) for l = 7 ; W = 34*7 = 238 litres.

d) for W = 442; l = 442/34 = 13.

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