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Salim wants to purchase tickets from a vendor to watch a ten...
math SAT SAT-math-test
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Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n + 12 represents the total amount T, in dollars, Salim will pay for n tickets. What does 12 represent in the equation?

A) The price of one ticket, in dollars

B) The amount of the service fee, in dollars

C) The total amount, in dollars, Salim will pay for one ticket

D) The total amount, in dollars, Salim will pay for any number of tickets

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judziy
Asked by judziyrep:1.9K
University of Benin Nigeria
04 June 2020

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peter
Peter answeredrep:1.7K
University of Lagos Nigeria
12 August 2020
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The equation, T = 15n + 12 can be compared to the straight line equation, y = mx + c

where m = slope 

and c is the intercept, which is the initial value of y when x = 0

In relation to the initial equation, 15n = mx, (thus, m = 15 and n = x) and c = 12

when n = 0

T = 15(0) + 12

T = 12

That is, Salim will have to pay an initial 12 dollars fee for processing (without yet paying the tickets fee. that is, ticket fee initially is 0) before paying the actual tickets fee, which is represented by the slope, m

Ans B

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