Interpret Domain and Range in Context

A local community theater holds 140 seats. The theater uses the equation

16x + 8y = 1120 to check that each performance makes enough tickets sales to earn the $1,120 needed to cover production costs. Let x, represent the adult's ticket, and y, represents the children tickets.

Complete the statement below

The community theater will meet production costs when it sells __________ adult tickets.

A local community theater holds 140 seats. The theater uses the equation

16x + 8y = 1120 to check that each performance makes enough tickets sales to earn the $1,120 needed to cover production costs.

Let x represent the number of adult tickets and y represents the number of children tickets.

Complete the statement below

The community theater will meet production costs when it sells __________ child tickets.

A local community theater holds 140 seats. The theater uses the equation

16x + 8y = 1120 to check that each performance makes enough tickets sales to earn the $1,120 needed to cover production costs.

Which of the following statements is true?

• The local theater only needs to sell 140 adult tickets, if no child tickets are sold.

• For every 2 child tickets sold, the community theater needs to sell 1 fewer adult tickets.

• As the number of children tickets sold, x, increases, the number of adult tickets, y, sold increases.

• When 39 adult tickets are sold, the number of children tickets is 72.

Tags

CCSS.8.EE.C.7B

A South Carolina Wildlife Federation scientist has been tracking their population since the 2005 migration cycle. The scientist uses the function B(x) = -35x + 325 to estimate the number of butterflies, where x is the number of years since 2005 and B is the number of butterflies, in thousands.

Which of the following BEST describes the domain of the function?

At a gym in Morgantown, West Virginia, the cost for a membership is given by the equation y = 32.50x + 65, where y is the total cost, in dollars, for a membership for a certain number of months, x. The gym charges a one-time initial membership fee and recurring monthly fee.

Which of the following BEST represents the range of the situation?

The average price of a gallon of orange juice from October 2013 to September 2014 can be modeled by the function, f, shown, where x represents the number of months since October 2013.

f(x) = 6.12 + 0.03x

Which of the following describes the domain of the function?

The average price of a gallon of orange juice from October 2013 to September 2014 can be modeled by the function, f, shown, where x represents the number of months since October 2013.

f(x) = 6.12 + 0.03x

Which of the following describes the range of the function?

The average price of a gallon of orange juice from October 2013 to September 2014 can be modeled by the function, f, shown, where x represents the number of months since October 2013.

f(x) = 6.12 + 0.03x

What does 0.03 represent in context of this situation?

• The price of orange juice increased 3 cents each month after October 2013

• The average price of a gallon of orange juice in October 2013.

• The total increase in the price of a gallon of orange juice from October 2013 to September 2014.

• The total cost for orange juice after any number of months.

Tags

CCSS.HSF.LE.B.5