Equations y=mx

The variable y has a proportional relationship with x as suggested by the graph. Use the graph to write an equation that models the line.

• y=2x

• y=-x

• y=x

• y=x+1

The graph shows a proportional relationship between a​ family's water use per gallon, y, and the the number of gallons of water used, x. Write an equation for the relationship shown by the graph.

• y=x

• y=5x

• y=10x

• y=2x

Write an equation for the following description.

y is thirteen times the value of x.

The equation is y equals =

.

• y=3x

• y=1/13x

• y=2x

• y=13x

A company donates money to a charity every time the baseball team hits a home run. They donate ​$550

for every home run. Write an equation for the​ situation, where y is the total amount of money donated and x is the number of home runs hit.

The equation is y =

.

• y = 10

• y= 550x

• y = 1/5x

• y=x

The number of miles Mollie

Mollie walks is represented by the equation y=4​x, where x is the number of hours spent walking and y is the number of miles walked. The number of miles Jake walks in x hours is modeled by the equation y=7.

Who walks​ faster?

• Jake

• Mollie and Jake

• Mollie

• Neither

The amount of​ money, y, pizzeria Upper J makes by selling x pizzas can be modeled by the equation y=18x.

The relationship of the amount of money pizzeria Upper W

makes is shown in the following graph. Which pizzeria makes more money per​ pizza?

• They make the same amount per pizza.

• Pizzeria Upper W makes more money per pizza.

• Pizzeria Upper J makes more money per pizza.

• They make the same amount.

he graph shows a proportional relationship between the variables y and x. Write an equation to model the relationship. Use pencil and paper. Explain how you know there is a proportional relationship if you are given either an equation or a graph.

• y=x

• y=42x

• y=21x

• y=8x

Multiple Representations  
Gwen goes to the mall to buy jeans. The equation y=19x models the total cost y of x pairs of jeans at store Z. The table shows the relationship between the total cost and the number of Store V. 


Store V Pairs of Jeans                

                                                                                   Total Cost​
                                                                     2              $34
                                                                     3              $51
                                                                     4              $68


Which store charges more per pair of​ jeans?


Which store charges more per pair of​ jeans?

• Store V

• Both

• Store Z

• Neither

Write an equation for the proportional relationship.

y is one-eighth of x.

• 1/8 x

• 8x

• y=2x

• y=(-8x)

Michael is having a yard sale. For each​ item, he

is asking for two-fifths of the price for which he

bought the item. Write an equation for the​ situation, where y is the price he is asking and x is the original price of the item.

• y=3/5x

• y=5x

• y=2/5x

• y=2x+3