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Linear function - substitute x to find y - substitute y to find x - finding the rule (from graph and description)

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math

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linear function

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Cost'y'is $7.25

Cost'y'is $10.40

Cost'y'is $6.65

The relationship between the cost of the taxi ride (y) and distance travelled (x) can be expressed asy = 1.9x + 3.75Use the equation to estimate the cost of travelling 3.5 km in a taxi.

1/5

Ex. In an equation y = 1.75x+3.45. If x = 5, what is the corresponding y?

rightanswer

In y = 1.9x +3.75x =distance, y = costx = 3.5, find the corresponding y-value

The relationship between the cost of the taxi ride (y) and distance travelled (x) can be expressed asy = 1.9x + 3.75Use the equation to estimate how far you can travel with $50

2/5

You can travel24 km

You can travel25 km

You can travel44 km

rightanswer

x = distance travelledy = costy = 1.9x +3.75Set y = 50, find the corresponding x-value

Find the equation for this line:

3/5

y = -0.67x + 12

y = 0.67x - 1

y = 1.5x -8.5

rightanswer

Just an example... Your answer could be slightly different!

4/5

Going to see the latest action movie in theatre!x = price of an adult tickety = price of a child ticketExpress the following scenario as an equation (with x and y)2 adult tickets and 5 child tickets cost a total of $91

x + y = 91

2x + 5y = 91

7xy = 91

rightanswer

x = price of an adult tickety = price of a child ticket2 adult tickets => 2x5 child tickets => 5yTogether, they cost $912x + 5y = 91

x = price of an adult tickety = price of a child ticket2 adult tickets and 5 child tickets cost $91OR 2x + 5y = 91If child ticket is $11 each, what is the price of an adult ticket?

5/5

Adult ticket'y' is $18

Adult ticket'y'is $16

Adult ticket'x'$13.8

rightanswer

2x + 5y = 91And y (price of a child ticket) is $11

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