The cost for one ticket to a jazz concert is $7.50. Two tickets cost $15. Write an equation in point-slope form to represent the

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2 years ago

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total cost y for x tickets.

1 answer:

Flauer [41] · Answer 1 · 2023-02-03T08:39:31+03:00

An equation in the point-slope form to represent the total cost y for x tickets is $y-15 = 2(x-2)\\$

Let the cost of ticket be C

Let the number of tickets be x

The coordinate for the cost of a ticket will be written as: (x, C)

If the cost for one ticket to a jazz concert is $7.50, this is represented in coordinate form as (1, 7.50)

If two tickets cost $15, his is represented in coordinate form as (2, 15)

Get the slope of the equation

$m =\frac{15-7.5}{2-1}\\m=\frac{7.5}{1}\\m = 7.5\\$

Get the equation in point-slope form

$y-y_1 = m(x-x_1)\\$

Substitute the slope and one of the point into the formula:

$y-15 = 2(x-2)\\$

Hence an equation in the point-slope form to represent the total cost y for x tickets is $y-15 = 2(x-2)\\$