Finding and Interpreting Intercepts in Real-Life Scenarios

A local bakery sells cupcakes for $3 each and cookies for $2 each. If the bakery's total revenue is represented by the equation R = 3x + 2y, where x is the number of cupcakes sold and y is the number of cookies sold, find the x-intercept and interpret its meaning in the context of the problem.

• 1

• 0

• 2

• 3

Tags

CCSS.HSF.LE.B.5

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. The total cost C can be modeled by the equation C = 50 + 0.2m, where m is the number of miles driven. What is the y-intercept of this equation, and what does it represent?

• $0

• $100 flat fee

• $50 per mile

• 50

Tags

CCSS.HSF.LE.B.5

A school is planning a fundraiser and has a goal of raising $1,000. They plan to sell tickets for $10 each. The equation for the total amount raised A can be expressed as A = 10t, where t is the number of tickets sold. Find the x-intercept and explain its significance.

• The x-intercept is (10, 0).

• The x-intercept is (0, 1000).

• The x-intercept is (100, 0).

• The x-intercept is (0, 0).

Tags

CCSS.HSF-IF.C.7A

A gym charges a monthly membership fee of $30 plus $5 for each class attended. The total cost C can be modeled by C = 30 + 5c, where c is the number of classes attended. Calculate the y-intercept and interpret its meaning in the context of gym membership.

• 30

• 35

• 25

• 40

Tags

CCSS.HSF.LE.B.5

A farmer sells apples for $1.50 each and oranges for $0.75 each. The total sales S can be represented by the equation S = 1.5a + 0.75o, where a is the number of apples sold and o is the number of oranges sold. Find the x-intercept and explain what it indicates about the sales.

• (1.5,0)

• (0,0)

• (0,1)

• (2,2)

Tags

CCSS.HSF.LE.B.5

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, the revenue R can be modeled by R = 20s, where s is the number of tickets sold. What is the x-intercept of this equation, and what does it tell us about ticket sales?

• The x-intercept is (20, 0), indicating a loss of revenue at full capacity.

• The x-intercept is (500, 10000), indicating maximum ticket sales.

• The x-intercept is (0, 0), indicating no ticket sales result in zero revenue.

• The x-intercept is (10, 200), indicating partial ticket sales yield some revenue.

Tags

CCSS.HSF.LE.B.5

A charity event has a goal of raising $2,000. If they charge $25 per ticket, the total amount raised A can be expressed as A = 25t, where t is the number of tickets sold. Find the y-intercept and interpret its significance in the context of the event.

• The y-intercept is (0, 25), indicating that selling one ticket raises $25.

• The y-intercept is (0, 50), indicating that selling two tickets raises $50.

• The y-intercept is (0, 2000), indicating that no tickets sold results in $2000 raised.

• The y-intercept is (0, 0), indicating that no tickets sold results in $0 raised.

Tags

CCSS.HSF.LE.B.5

A company produces and sells gadgets. The revenue R from selling g gadgets can be modeled by the equation R = 15g. What is the x-intercept of this equation, and what does it represent in terms of production?

• 0

• 5

• -1

• 15

Tags

CCSS.HSF-IF.C.7A

A bookstore sells novels for $12 each and textbooks for $25 each. The total revenue R can be expressed as R = 12n + 25t, where n is the number of novels sold and t is the number of textbooks sold. Find the y-intercept and explain its meaning in the context of the bookstore's sales.

• 12

• 0

• 25

• 37

Tags

CCSS.HSF.LE.B.5

A pizza shop sells pizzas for $10 each and drinks for $2 each. The total revenue R can be modeled by R = 10p + 2d, where p is the number of pizzas sold and d is the number of drinks sold. Calculate the x-intercept and interpret its significance in the context of the pizza shop's sales.

• (5, 5)

• (10, 0)

• (0, 0)

• (0, 5)

Tags

CCSS.8.EE.B.5