Linear Relationships

Which of the statements about the graph is true?

• The graph is proportional and has an equation of y = -x + 18

• The graph is non-proportional and has an equation of y = -x + 18

• The graph is non-proportional and has an equation of y = -2x + 18

• None of the above statements are true.

The table shows the amount that a catering company charges based on the number of people at an event. Which of the following equations shows the relationship between c, the amount the company charges based on p, the number of people at the event?

• c = 16p

• c = 75p + 13

• p = 13c + 75

• c = 13p + 75

The value of y varies directly with x, and when x = 1/4, y = 25. What is the value of y when x is 2 1/3?

• 233 1/3

• 9 1/3

• 14 1/2

• 213 1/4

Which of the following describes a proportional relationship?

• Drew paid $2.86 per pound of apples plus $0.10 for a grocery bag.

• Heather rented a hotel for $110 a night plus $18 a night for valet parking.

• Carlos bought tires for $250 each with a discount of $50 off his total purchase.

• Manuel bought three pairs of shoes for $99 each plus a shipping fee of $6.

Find the slope and the y-intercept of the linear function shown below.

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Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.

• Allen was given 44 cards and he buys 36 cards each month.

• Allen was given 14 cards, and he buys 15 cards each month.

• Allen was given 20 cards, and he buys 12 cards each month.

• Allen was given 24 cards, and he buys 10 cards each month.

Which is true about the table and graph shown?

• Only the table shows a proportional relationship.

• Only the graph shows a proportional relationship.

• Both the table and the graph show a proportional relationship.

• Neither the table nor the graph show a proportional relationship.

Which table shows a relationship between x and y where y is always equal to 8 less than the product of x and 3?

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• t = 45m + 23

• m = 45t + 23

• t = 23m + 45

• t = 68m

Preston needs to write an equation in slope-intercept form to represent the relationship between x and y in the table. What will be the value of the y-intercept in his equation?

• 8

• -12

• 0

• 12