Ratio With Equations

The table shows John's wages based on the number of hours he works. What equations would be used for the table? Use h for hours and d for dollars

• d = 9h

• h = 9d

What rule would explain this ratio table?

• The output is 3 times as much as the input.

• The input is 3 times as much as the output.

• The output is 8 times as much as the input.

• The input is 8 times as much as the output.

Solve for A in the table.

• 40

• 10

• 9

• 45

Solve for B in the table.

• B= 40

• B= 10

• B= 9

• B= 45

Does each equation represent a proportional relationship? Choose Yes or No.

y = 13x - 7 ​ (a)  

y = 13x ​ (b)  

• no

• yes

Answer explanation

The first equation y = 13x - 7 does not represent a proportional relationship because it has a y-intercept that is not zero. A proportional relationship must have a y-intercept of zero. The second equation y = 13x does represent a proportional relationship because it has a y-intercept of zero.

Tags

CCSS.MATH.CONTENT.7.RP.A.2.b

CCSS.MATH.CONTENT.7.RP.A.2.c

Is this a proportional equation?  Why?

• It is not proportional because it doesn't have a constant.

• It is not proportional because it doesn't have a constant rate of change.

• It is proportional because if x = 0, y = 0.

• It is proportional because it has a y intercept.

Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?

• 15 oz

• 30 oz

• 45 oz

• 11 oz

How many tbsp of honey is needed for 20 cups of flour?

• 2

• 18

• 25

• 16

Use the ratio tables to determine how many pencils will be in 8 boxes?

• 20 pencils

• 24 pencils

• 96 pencils

• 84 pencils

Which two types of cars have equivalent ratios of miles traveled to gallons of gas used?

• Honda and Dodge

• Toyota and Honda