Real-Life Linear Equations: Write & Interpret Solutions

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in standard form that represents the total cost (C) in terms of miles driven (m).

• C = 30m + 20

• 20m - C = 3000

• C - 30 = 0.20m

• C = 30 + 0.20m

If a store sells notebooks for $2 each and pens for $1 each, and the total cost for 10 items is $18, write the equation in standard form to represent the relationship between the number of notebooks (n) and pens (p).

• 2n + p = 18

• 3n + p = 18

• 2n + 3p = 18

• n + 2p = 18

A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. If the total perimeter is 36 feet, write the equation in standard form to find the dimensions of the garden.

• Width = 7 feet, Length = 15 feet

• Width = 5 feet, Length = 13 feet

• Width = 4 feet, Length = 10 feet

• Width = 6 feet, Length = 12 feet

A school is organizing a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write the equation in standard form that represents the total cost (C) for x students attending the trip.

• C = 15x + 200

• C = 200 - 15x

• 15x - C = -200

• C = 15x + 15

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 12 items for $30, write the equation in standard form to represent the relationship between the number of cupcakes (c) and cookies (k).

• 3c + 2k = 30

• 4c + k = 30

• 2c + 3k = 30

• c + 2k = 12

A phone plan charges a monthly fee of $25 plus $0.10 per text message sent. Write the equation in standard form that represents the total bill (B) in terms of the number of text messages (t) sent.

• B = 0.10t - 25

• B = 2500 + 10t

• B = 25 + 0.10t

• 10t - B = 2500

A concert venue has a seating arrangement where the number of rows (r) is 5 less than twice the number of seats per row (s). If the total number of seats is 200, write the equation in standard form to find the values of r and s.

• 2s^2 - 5s - 200 = 0

• s^2 - 5s + 200 = 0

• r + 2s = 200

• 2r + s = 200

A factory produces toys at a cost of $4 per toy and has a fixed cost of $500. Write the equation in standard form that represents the total cost (C) of producing x toys.

• C = 4x + 500

• C = 4x - 500

• C = 500 - 4x

• 4x - C = -500

A farmer has a total of 100 animals consisting of cows and chickens. If there are 3 times as many chickens as cows, write the equation in standard form to represent the relationship between the number of cows (c) and chickens (h).

• c + h = 50, h - 2c = 0

• c + h = 150, h - 4c = 0

• c + h = 100, h - 2c = 0

• c + h = 100, h - 3c = 0

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 15 items for $85, write the equation in standard form to represent the relationship between the number of novels (n) and magazines (m).

• 10n + 5m = 75 and n + m = 20

• 15n + 0m = 85 and n + m = 15

• 5n + 10m = 85 and n + m = 10

• 10n + 5m = 85 and n + m = 15