Linear Functions and Proportionality

The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function?

• 2

• -5

• 5

• -2

Sal purchased some art supplies and card stock in order to make greeting cards. The graph below shows the relationship between the number of cards Sal makes and the total cost of the materials used to make the cards. Based on the graph, what will be the total cost of making 25 greeting cards?

• $12.50

• $50.00

• $52.50

• $15.00

A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

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Which equation best represents the data in the table?

• 4x - 3y = 12

• 4x - 3y = -9

• 3x - 4y = -12

• 3x - 4y = 9

Customers at a bank are charged a fee when they exchange U.S. dollars for foreign currency. The function f(x) = 78.5x − 392.5 can be used to determine the number of Japanese yen a customer receives in exchange for x dollars, where x > 5. Which table shows this relationship?

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Which table contains only corresponding x-values and y-values where the value of y is 3 more than the quotient of x and 2?

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Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rudolfo has in his toy box, y, and the number of months that have passed, x?

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Which graph best represents the equation y =1.4x + 2?

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John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?

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A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

• y = 2x + 7

• y = 7 - 2x

• y = 2 - 7x

• y = 7x +2