Interpreting Linear Functions Story

Released EOG Question (click th eimage to zoom in)

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A dude ranch in Texas charges customer y dollars to go horseback riding based on the equation y = 10x + 20, where x represents the hours they go horseback riding. What is the meaning of the slope?

• The initial fee for riding horses is $10

• It cost $10 per hour to ride a horse

• The initial fee for riding horses is $20

• It cost $20 per hour to ride a horse

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.

The population, in millions, of a city t years after 1990 is given by the equation P(t) = 2.9 + 0.08t. In this function,

• 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.

• 2.9 million is the population of the city in 1991 and 2.98 million is the population in 1992.

• 2.9 million is the population of the city in 1990 and 0.08 million is the decrease per year in the population.

• 0.08 million is the population of the city in 1990 and 2.9 million is the increase per year in the population.

The y-intercept for this table is 

• 800

• 200

• 100

• 2

Thomas is a car salesman. The table shows the monthly salary that Thomas earns for the number of cars he sells. Use the data to graph the linear function. Write the equation of the line, identify the slope of the line and explain what the slope means.

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A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does 4.25 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

What does the slope show?

• shots each player made

• games per shots

• shots made per game

• greens per game

A holiday meal costs $12.50 per person plus a delivery fee of $30. Which value represents the y-intercept of the linear equation?

• 30

• 12.50

Bob has $150 in his savings account and saves $40 per month. What value represents the y-intercept of a graph of the balance in Bob's account?

• 40

• 50

• 190

• This is not enough information.