Algebraic Relationships

Which of the following represents the constant of proportionality in the table?

• k = 85

• k = 95

• k = 190

• k = 125

Tags

TEKS.MATH.7.4C

The table below shows the relationship between the number of miles traveled, x, and the number of gallons of gas used, y. Which of the following equations best represents the relationship?

• 35 = 1x

• y = 35x

• y = 3.5x

Tags

TEKS.MATH.A.3B

Is there a proportional relationship between x and y?

• YES

• NO

Tags

TEKS.MATH.7.4A

The table shows the relationship between the number of miles traveled, y, and the number of gallons of gas used, x.

Which of the following equations best represents the relationship?

• y = 7.6x

• y = 0.013x

• y = 684x

• y = 76x

Tags

TEKS.MATH.8.4B

The table is​ ​ (a)   , because it ​ (b)   a constant ratio.

If so, what is the constant of proportionality?​ (c)  

• non-proportional

• proportional

• does not have

• has

• no constant

• k=14

Answer explanation

A proportional relationship means that two quantities maintain a constant ratio. In this case, the relationship does not exhibit a constant ratio, hence the answer is No.

Tags

TEKS.MATH.7.4C

Which situation represents a proportional relationship?

Select the correct answer ○ in each row.

Tags

TEKS.MATH.7.4A

The graph shows the amount of money that Janice saves each week from her summer job. Which best represents the unit rate?

• (0 , 0)

• (1, 200)

• (200, 1)

• (2, 200)

Tags

TEKS.MATH.7.4A

The table represents some points on a linear function. Which situation can be modeled by this function?

• The cost of buying 1 pair of shoes for $84.

• The cost of using 1 gallon of gas for $76.

• The cost of buying 5 pairs of shoes for $76.

• The cost of purchasing 11 pairs of shoes for $228.

Tags

TEKS.MATH.A.3B

TEKS.MATH.A.3C

Which of the following situations represents a proportional relationship?

• A pizza is $7.95 plus $1.00 for each topping

• A pool fills at a rate of 90 gallons per hour

• A health club charges a $40 membership fee plus $25 per month

• A bank account begins with $350 and gains $30 per month

Tags

TEKS.MATH.7.4A

What is the constant of proportionality?

Tags

TEKS.MATH.7.4C