Question

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Marcus is buying a plane ticket. If he purchases his ticket on the day of his departure, it will cost $239. The ticket costs less if he buys it earlier. If he purchases it 20 days before his departure, it will cost $189. Model this situation by using a linear function. Then determine the cost of the ticket if Marcus buys it 3 days before his departure.

Answer 1

The modelled situation in a linear format is y = $-\frac{5}{2}x+239$

The cost of the ticket if Marcus buys it 3 days before his departure is $231.5

Linear equation

y = mx + b

where

m = slope

b = y-intercept

b = 239

Therefore, let's model the situation to a linear equation.

y = mx + 239

using (20, 189)

189 = 20m + 239

189 - 239 = 20m

-50 = 20m

m = $-\frac{5}{2}$

Therefore,

y = $-\frac{5}{2}x +239$

where

x = The day before departure

y = cost of ticket

To determine the cost of the ticket if Marcus buys it 3 days before his departure.

y = $-\frac{5}{2}(3)+239$

y = -7.5 + 239

y = $231.5

learn more on linear equations here: https://brainly.com/question/441388