Question

7) john is saving money to go on an overnight schooltrip. The cost of the trip is $350. He has a job ataconvenience store, which pays $9 per hour and thesometimes babysis for a family in hismeighborhood, which pays $12 per hour. The graphhere represents this situation.) Write an equation which represents thissituation. Make sure to define any variablesthat are used. 3 pts)>>) What does point represent in this situation? Ista solution Explain Show your reasoning(3 ptsWhat does pot represent in this situation is a solution? Showing(3 pes)

Answer 1

cost of the trip = 350

9 per hour (convenience store)

12 per hour ( babysis)

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a)

Linear equation

y = hours worked babysitting

x = hours worked at a convenience store

y = mx + b

m= (y2-y1)/ (x2-x1)

y-intercept is (0, b)

b= 30

points

point 1 (40, 0) x1= 40; y1= 0

point 2 (0, 30) x2= 0 ; y2= 30

m = (30-0)/(0-40)

m= -3/4

Replacing m and b

y = -0.75 x + 30

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Can you see the updates?

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b) Point b (32, 6)

x= 32 and y = 6

32* 9 per hour + 6* 12 = 360

That means, he works 32 hours in the store and 6 hours as a baby sister to earn 360

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c) point d (24, 8)

24* 9 per hour + 8* 12 = 360

that means, he works 24 hours in the store and 8 hours as a baby sister to earn 312

this is not a solution because he needs at least $ 350 for the trip

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Do you have any questions regarding the solution?