Question

John works 40 hours a week as a carpenter. he spends 60% of this time building decks and 40% installing siding. john is paid a different hourly wage for each type of labor. let x represent the hourly wage for building decks and y represent the hourly wage for installing siding. which expression represents john's weekly income?

Answer 1

John's weekly income can be represented by the expression 24x + 16y, where x is the hourly wage for building decks and y is the hourly wage for installing siding.

Step-by-step explanation:

To represent John's weekly income using the variables given (x for the hourly wage for building decks and y for the hourly wage for installing siding), we need to calculate the wages for each type of labor separately and then sum them. Since John works 40 hours a week and spends 60% of his time building decks, he spends 40 hours * 60% = 24 hours building decks. For installing siding, which constitutes 40% of his time, he spends 40 hours * 40% = 16 hours installing siding.

The expression for his weekly income from building decks would thus be 24 hours * x (the hourly wage for building decks), and the expression for his weekly income from installing siding would be 16 hours * y (the hourly wage for installing siding). Adding these two expressions together gives us John's total weekly income:

John's weekly income = 24x + 16y