EOC Review 3

Formulate a linear equation from the given information.
1) Slope andy-intercept
m =– b =–5 / 2) Slope and a point
m =– (6,–2) / 3) Two points {(–4,3) (2,–3)}
4) Passing through point
(–1, 3), parallel to thex-axis / 5) Passing through point (0, 5),
perpendicular to x-axis / 6) Passing thru point (–2, 3), and parallel tox–3y =15
7) Passing thru the origin, perpendicular toy=x– 3 / 8) Table of values for the line
/ 8) Table of values for the line

The amount charged by Timmy’s Tubes for an inner tube to float on the Guadalupe River varies directly as the number of hours it is rented out. For a two and a half hour rental, Timmy’s Tubes charges $18.75. Another company on the river, Fred’s Floats, charges a base fee of $2 plus $6.25 per hour.

What would each company charge for renting an inner tube for 1hours?

If Terri has $12 to spend on renting an inner tube, which company should she use to get the maximum amount of rental time?

Explain your reasoning.

Solve each system by an appropriate method and justify the solution.
  1. 1.Table
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  1. 2.Graphically
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  1. 3.Verbally
    Equation 1: Four timesyis equal to three times the difference of five andx.

  2. Equation 2:Ten increased byyis equal to two timesx.

  1. 4. Symbolically
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  1. 5. Unleaded gas and supreme gas sell for different prices per liter. Suppose that 2 liters of unleaded gas and 3 liters of supreme gas cost a total of $2.52. Five liters of unleaded gas and 4 liters of supreme gas cost a total of $4.48.
  2. What is the price per liter of each kind of gas?
  1. If Ted filled his pickup with 30 liters of unleaded gas and also filled his car with 25 liters of supreme gas, how much would he have to pay for the gas? Assume prices have not changed.
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  1. 6. Green Grass, Inc., charges an initial fee of $15 plus $10 per hour for lawn services. Their main competitor, S & G Lawn Care, charges an initial fee of $35 plus $7 per hour.
  2. When would the charges for each company be equal?
  1. Explain two different methods that could be used to determine when it would be better to use Green Grass, Inc., and when it would be better to use their competitor, S & G Lawn Care.

  1. 7. Graph each system of two linear inequalities in two variables and shade the region of the solution set.
a. /
b. /
c. /
/ 8. The Spanish club at Wright High School is selling two types of candy, chocolate bars and lollipops, for a fundraiser. The club will make a profit of $2 on each chocolate bar and a profit of $0.75 on each lollipop. The president of the club has determined that at most the club members will sell 500 pieces of candy, but they must make at least $500 in profit.
  1. Create a system of two linear inequalities in two variables to represent the situation
  2. Create a graph of the solution set of the system of inequalities.
  3. Justify the reasonableness of the solution.