A household's weekly costs are shown in the table below, where \(x\) is a shared hourly rate in pounds paid to both service providers under a joint househol...
Question 1 Report
A household's weekly costs are shown in the table below, where \(x\) is a shared hourly rate in pounds paid to both service providers under a joint household contract that they review and renew every single year.
| Item | Cost |
|---|---|
| Cleaning supplies | \(2(3x + 4)\) |
| Cloth subscription | \(5x\) |
Write an expression for the total weekly cost, and simplify it fully. (3)
Answer Details
The total weekly cost is the cleaning supplies cost plus the cloth subscription cost. Expanding the bracket in the cleaning supplies term gives \(2(3x + 4) = 6x + 8\) [1 mark]. Adding the subscription cost of \(5x\) gives \(6x + 8 + 5x\) [1 mark]. Collecting the like terms in \(x\), \(6x + 5x = 11x\), gives the fully simplified total weekly cost, \(11x + 8\) [1 mark] pounds.
Download The App On Google Playstore
Everything you need to excel in your exams
