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20. The electric bill charge for a certain utility company is $0.095 per kilowat

ID: 3116805 • Letter: 2

Question

20. The electric bill charge for a certain utility company is $0.095 per kilowatt-bour plus a fixed monthly charge of $11.9S. The total cost, y, depends on the number of kilo-watt-hours, x, according to the equation: y = 0.095x + 11.9S (3 points) a. Determine the cost of using 1,000 kilowatt-hours. X loo b. Determine the y-intercept and interpret the meaning of the y-intercept in the context of this problem. c. Determine the slope and interpret the meaning of the slope in the context of this problem.

Explanation / Answer

(a)

y = 0.095x + 11.95

y(1000) = 0.095*1000 +11.95 = 95+11.95 = 106.95

(b)

y-intercept is (0, 11.95)

y-intercept here means that if 0 kilo-watt-hours (units) is consumed, customer will be paying $11.95

(c)

slope = 0.095 ($/per unit)

the slope here means for every additional unit (kilo-watt-hours) consumed by customer, he/she will have to pay

$0.095 additional for it.