Question

A fan pays​$1575.00 for 44 premium seat tickets. Another fan pays ​$2975 for 88 premium seat...

A fan pays​$1575.00 for 44 premium seat tickets. Another fan pays ​$2975 for 88 premium seat tickets. Write a linear model for the cost of premium seat tickets based on the number of tickets a fan buys.Use C to represent the cost and t represent the number of tickets purchased. ​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.) The answer is _________

Math   Statistics-And-Probability   
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Answer #1

for t1 = number of premium seat tickets = 44

C= Cost = 1575.00

Cost = intercept + slope*number of premium seat tickets

1575.00 = intercept + slope*44 (1)

for t1 = number of premium seat tickets = 44

C= Cost = 1575.00

Cost = intercept + slope*number of premium seat tickets

2975 = intercept + slope*88 (2)

Subtracting (1) from (2)

2975 = intercept + slope*88

-1575.00 = -intercept - slope*44

--------------------------------------------------

1400 = slope*44

Hence slope = 1400/44 = 31.8182 and intercept = 175

C = intercept + slope*t

C = 175 + 31.8182*t

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