Homework 1/7

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship, indicating how much y changes for a unit change in x.

Tags

CCSS.7.RP.A.2B

Front

How do you identify the constant of proportionality from an equation?

Back

In the equation y = kx, the constant of proportionality is the coefficient k.

Tags

CCSS.7.RP.A.2C

Front

What is the value of K in the equation y = Kx when y = 1.5 and x = 1?

Back

K = 1.5.

Tags

CCSS.HSF-LE.A.1B

Front

If y = 0.15x, what is the value of y when x = 20?

Back

y = 0.15 * 20 = 3.

Tags

CCSS.HSF-LE.A.1B

Front

What is the relationship between x and y in the equation x = 0.15y?

Back

In this equation, y is proportional to x, with a constant of proportionality of 1/0.15 or approximately 6.67.

Tags

CCSS.7.RP.A.2C

Front

How can you convert the equation y = 0.15x to find x in terms of y?

Back

To find x in terms of y, rearrange the equation to x = y / 0.15.

Tags

CCSS.HSA.CED.A.4

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Tags

CCSS.7.RP.A.2A

Front

If the constant of proportionality is $1.23, what is the value of y when x = 10?

Back

y = 1.23 * 10 = $12.30.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that y increases faster than x.

Tags

CCSS.7.RP.A.2B