SSS2 Math Quiz 19.4 – Series

The cost of hiring a taxi consists of a fixed charge of $5 plus a charge of $0.50 per kilometer. If ‘C’ represents the total cost and ‘d’ represents the distance traveled in kilometers, which equation represents this situation?

A plumber charges a call-out fee of $80, plus $40 per hour for labor. Which equation represents the total cost ‘C’ for a job that takes ‘h’ hours?

The cost of renting a car is $30 per day plus $0.20 per mile driven. If John rents a car for 2 days and drives 300 miles, what will be the total cost?

A mobile phone plan costs $20 per month plus $0.10 per minute of talk time. If Sarah’s bill for one month was $35, how many minutes of talk time did she use?

The height ‘h’ of a plant after ‘t’ weeks is given by the equation h = 5 + 2t. What was the initial height of the plant?

The total cost ‘C’ of producing ‘n’ items is given by C = 1000 + 5n. What is the fixed cost involved in the production?

A salesperson earns a base salary of $2000 per month plus a commission of 5% on all sales. If the salesperson made $3500 in one month, what was the total value of their sales?

The distance ‘d’ traveled by a car in ‘t’ hours is given by d = 50t + 20. How far had the car already traveled at the start of the journey?

A phone company charges a monthly fee of $15 plus $0.05 per text message sent. If a customer’s bill one month was $25, how many text messages did they send?

The cost of hiring a hall for a party is $200 plus $10 per guest. If the total cost of the party was $500, how many guests attended?

A candle is initially 20 cm tall and burns at a rate of 1 cm per hour. Which equation represents the height ‘h’ of the candle after ‘t’ hours?

A swimming pool is being filled. It already contains 500 gallons of water, and water is being added at a rate of 20 gallons per minute. Which equation represents the total volume ‘V’ of water in the pool after ‘t’ minutes?

A car rental company charges a flat fee of $50 plus $0.30 per mile driven. If a customer’s total bill was $110, how many miles did they drive?

A salesperson’s monthly income consists of a base salary of $2500 plus a 4% commission on sales. If their total income for a month was $3100, what was the value of their sales?

A taxi company charges a base fare of $3 plus $1.50 per mile. If a passenger’s fare was $12, how many miles was the ride?

The total cost (C) of producing ‘x’ units of a product is given by C = 500 + 3x. What is the variable cost per unit?

The height (h) of a ball thrown upwards is given by the equation h = 20 + 15t – 5t², where ‘t’ is the time in seconds. What was the initial height of the ball?

A phone plan costs $30 per month plus $0.15 per text message. If a person’s bill one month was $42, how many text messages did they send?

A repairman charges a fixed fee of $50 to visit a house, plus $30 per hour for the repair work. If a repair job cost $170, how many hours did it take?

The total cost (T) of renting a boat is $75 plus $25 per hour. If a group rented the boat for 3 hours, what was the total cost?