Create an Equation That Represents a Linear Relationship

Which function is best represented by this graph?

Which equation can be used to describe the relationship between x and y shown in the graph?

A company is drilling a water well. The graph models the linear relationship between the depth of the well and the time spent drilling. Which function best represents the relationship between y and x ?

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TEKS 8.5I

The graph shows the relationship between the cost of some pecans and the weight of the pecans in pounds. Which function best represents the relationship shown in the graph?

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TEKS 8.5I

• Graph A

• Graph B

• Graph C

• Graph D

The table shows several pairs of x- and y-values for a linear relationship.

 

 

Create an equation in slope-intercept form that can be used to model this relationship.

 

Move the correct answer to each box. Not all answers will be used.

y = ​ (a)   x + ​ (b)  

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

The model represents an equation.

 

 

Based on the model, what is the value of x?

• x = 3

• x = 2

• x = 4

• x = 1

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?

• y = 3(54.99)x

• y = (54.99 − 3)x

• y = 54.99x − 3

A student took 32 minutes to complete a 20-question history assignment. Choose two points that lie on the line with the slope that best represents the number of questions completed per minute. 

 

Select TWO correct answers.