Real-Life Linear Equations: Writing and Graphing Skills

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in point-slope form to represent the total cost (C) for driving m miles. What is the slope and what does it represent?

• C - 20 = 0.15(m - 10); slope = 0.15, representing the cost for 10 miles.

• C - 20 = 0.20(m - 0); slope = 0.20, representing the flat fee.

• C - 20 = 0.10(m - 0); slope = 0.10, representing the total cost.

• C - 20 = 0.15(m - 0); slope = 0.15, representing the cost per mile.

A local gym has a membership fee of $50 and charges $10 per class attended. Write the equation in slope-intercept form for the total cost (C) after attending x classes. How much would it cost to attend 5 classes?

• $120

• $90

• $70

• $100

A gardener is planting a row of flowers. The first flower is planted at the point (1, 2) and the second at (3, 6). Write the equation of the line in point-slope form that represents the relationship between the number of flowers planted and their height. What is the slope?

• y - 2 = 4(x - 1), slope = 4

• y - 2 = 1(x - 1), slope = 1

• y - 2 = 3(x - 1), slope = 3

• y - 2 = 2(x - 1), slope = 2

A taxi company charges a base fare of $3 plus $2 for each mile driven. Write the equation in slope-intercept form for the total fare (F) after driving d miles. How much would the fare be for a 10-mile trip?

• $18

• $30

• $15

• $23

A student is saving money for a new laptop. They currently have $100 and plan to save $20 each week. Write the equation in point-slope form to represent the total savings (S) after w weeks. How much will they have saved after 4 weeks?

• 180

• 160

• 200

• 140

A bike shop sells bikes for $200 each and offers a discount of $50 for every bike purchased. Write the equation in slope-intercept form for the total cost (C) of buying b bikes. How much would it cost to buy 3 bikes?

• $450

• $750

• $600

• $300

A restaurant's daily sales can be modeled by the equation y = 50x + 200, where x is the number of days and y is the total sales in dollars. What is the slope, and what does it represent in this context?

• The slope is 100, meaning sales double every day.

• The slope is 200, indicating total sales for the first day.

• The slope is 50, representing an increase of $50 in sales for each additional day.

• The slope is 50, representing a decrease of $50 in sales for each additional day.

A school is planning a field trip. The cost per student is $30, and there is a fixed cost of $200 for the bus. Write the equation in point-slope form for the total cost (C) for s students. How much would it cost for 10 students?

• $300

• $400

• $500

• $600

A phone company charges a monthly fee of $40 plus $0.10 per text message sent. Write the equation in slope-intercept form for the total bill (B) after sending t text messages. How much would the bill be if 50 text messages are sent?

• $45

• $50

• $30

• $60

A bookstore sells notebooks for $5 each and offers a discount of $1 for every notebook purchased. Write the equation in point-slope form for the total cost (C) of buying n notebooks. How much would it cost to buy 4 notebooks?

• $12

• $20

• $10

• $16