Inclined Treadmill The number of calories burned for 1 hour on a treadmill going
ID: 3032037 • Letter: I
Question
Inclined Treadmill The number of calories burned for 1 hour on a treadmill going at a constant speed is a function of the in-cline of the treadmill, At 4 miles per hour an average person on a 5 degree incline will burn 525 calories At 4 mph, on a 15 degree incline the average person will burn 880 calories Let C be the calories burned and d be the degrees of incline of the treadmill. Determine a linear function C(d) that fits the data. Demand for New sandwiches the marketing manager of Arby's restaurants determines that the demand, d. for new chicken sandwich is a linear (unction of the price p for $0.80 lessthanorequalto p lessthanorequalto $4,00. If the price is $1,00, then 530 chicken sandwiches will be sold each month lf the price is $2.00, only 400 chicken sandwiches will he sold each month. Using ordered pairs of the form (p, d). write an equation for the demand, d, as a function of price, p. Using the function from part determine the demand when the price of the chicken sandwich is $2.60. Using the function from part determine the price charged if the demand for chicken sandwiches is 244 chicken sandwiches.Explanation / Answer
44)
C1 = 525
d1 = 5
C2 = 880
d2 = 15
use:
(C-C1)/(d-d1) = (C2-C1)/(d2-d1)
(C-525)/(d-5) = (880-525)/(15-5)
(C-525)/(d-5) = 35.5
C-525 = 35.5*d – 177.5
C = 35.5*d +347.5
C(d) = 35.5*d +347.5
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