Linear Relationships STAAR Review

The graph of a linear function is shown on the coordinate grid.

What is the slope of the function?

Slope: ​

(a)  

The graph of a linear function is shown on the coordinate grid.

What is the y-intercept of the function?

y-intercept: ( ​ (a)   , ​ (b)   )

• 0
• -2
• -4
• 2
• -1
• 4
• -3

Josh is saving money to buy a computer. He put the initial amount he has saved into a jar. Each month he puts an additional amount of money into the jar. The table shows the linear relationship between the number of months Josh has added money to the jar, x, and the total amount of money in the jar, y.

Which statement is true?

• The inital amount Josh put in the jar was $225.

• The inital amount Josh put in the jar was $75.

• The amount of money Josh adds to the jar each month is $45.

• The amount of money Josh adds to the jar each month is $60.

After x hours of rainfall today, Yvette recorded the amount of rain in inches, y, in a rain gauge. The table shows the linear relationship for the recorded rainfall.

How many inches of rain was in the gauge before the rain began today, and what was the rate at which the rain fell in inches per hour?

• There was 0 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.

• There was 2.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 1.25 inches per hour.

• There was 3 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inches per hour.

• There was 1.5 inches in the rain gauge before the rain began, and the rain fell at a rate of 0.75 inches per hour.

Maren made an initial deposit into her savings account. Each month Maren deposits the same amount into the savings account. The graph shows the linear relationship between x, the number of months Maren's savings account has been open, and y, the amount of money in the account.

Which amount best represents Maren's initial deposit in dollars?

• $450

• $900

• $1,350

• $1,575

The graph of a linear function passes through the points (-2 , 70) and (6 , -50).

Which equation represents the function?

• y = -15x + 4

• y = -15x + 40

Answer explanation

The graph of a linear function is shown on the grid.

Create an equation that represents the relationship shown on the graph. Move the correct answer to each box. Not all answers will be used.

y = ​ (a)   x + ​ (b)  

• 3/2
• 6
• -4
• -3/2
• -2/3
• 2/3

A gas company charges a $16 monthly service fee and $0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents y, the gas company's monthly charges in dollars for using x hundred cubic feet of natural gas?

• y = 0.6924x - 16

• y = 16x + 0.6924

• y = 16x - 0.6924

• y = 0.6924x + 16

Jerri paid $2.52 for 6 oranges. Each orange costs the same amount.

Which function can be used to find the total cost in dollars, c, for purchasing n oranges.

• c = 0.42n

• c = 2.52n

• c = 6n

• c = 15.12n

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