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Applying Linear Equations
Model each situation with a linear function.
1.​A gas station that fills portable propane tanks (such as are used for camping and for outdoor barbecues) charges $2.60 per gallon.

2.​The weight of a bucket of golf balls is a function of the number of balls, each of which weighs 1.6 oz. The bucket itself weighs 2 lb.

3.​It costs a farmer $110 to bring 150 pounds of tomatoes to market, and the tomatoes sell for $2 per pound. The difference between the income from sales and the cost is the farmer’s profit.

4.​A newly-started high school hopes to enroll 80 students in its first year and to increase enrollment by 40 students per year over the next five years.



Write a linear function for each graph, and state and label the slope and the y-intercept in each case.

5. A caterer charges a flat fee to put on an event, plus a per-person cost based on how many guests attend.
Equation:

Respuesta :

The general form of the linear equation is,
      y = mx + b

where y is the dependent variable, m is the slope, x is the independent variable, and b is the y-intercept. 

Substituting the known values,

1. y = 2.6x

where y is the total cost and x is the number of gallons purchased.

2. y = 1.6x + 2

where y is the total weight of the bucket and the golf balls and x is the number of golf balls inside the bucket. 

3. P = 2x - (110/150)(x)

Simplifying,

   P = 19x/15

where P is the profit and x is the number of pounds of tomatoes brought to the market

4. y = 40x + 80

where y is the total number of enrolled students and x is the number of years

5. y = mx + b

where y is the total number of charge, m is the cost per person, x is the total number of persons and b is the flat fee