Linear Equation Interpret

Chang wants to know if he is improving his skill on the cello. He created a scatter plot and drew a line of best fit. If he uses the point (2, 8) and (5, 1.5) from his line, which equation would best represent the line of best fit?

• y = -2.17x + 12.3

• y = 2.17x + 3.77

• y = -0.46x + 9

• y = -2.17x – 9.35

The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took. Which of the two given points would be the best to use to calculate the line of best fit?

• (500, 11) and (700, 11)

• (300, 9) and (400, 7)

• (400, 9) and (500, 11)

• (300, 7) and (600, 10)

A principal wants to predict the number of students who will drop out of school. The equation that represents this data is y = -10x + 216, where x is the # of years & y is the # of students who drop out. Help him predict the number of students who will drop out in 2012.

• 96 students

• 21 students

• 136 students

• 156 students

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. 

 

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between the number of lines (x) and the cost of the plan (y).

• y = 70x

• x = 70y

• y = 55 + 15x

• x = 55 + 15y

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x

A coach has 18 ping pong balls for the school's ping pong team. The coach will give each player 2 ping pong balls. The graph shows the linear relationship between y, the number of ping pong balls remaining for the team, and x, the number of players on the team. The coach will use no more than 5 players on the school's ping pong team. Which set best represents the range of the function for this situation?

• {18, 15, 12, 9, 6}

• {2, 3, 4, 5, 6}

• {18, 16, 14, 12, 10}

• {0, 1, 2, 3, 4, 5}

An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?

Tags

8.5.A

Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, x, and the monthly rent for each house, y, are shown in the scatter plot. Juan models the data with the linear equation. What could the number 1275 represent in the equation?

• The estimated rent for a house in the center of the city

• The estimated minimum rent for a house far from the center of the city

• The estimated change in rent for each additional mile from the center of the city

• The estimated change in distance from the center of the cityfor each dollar change in rent