Question

An electronic repairing service provider has a basic charge of nu 200 and an additional charge of nu 50 per hour. i. Write an algebraic expression to model the above given situation. ii. How much will the service provider charge for 3 hours?

Answer 1

An algebraic expression for the service provider's charges is y = 200 + (50 × x), where y is the total charge and x is the number of hours of service. For 3 hours, the provider will charge nu 350.

Step-by-step explanation:

To model the situation where an electronic repairing service provider has a basic charge of nu 200 and an additional charge of nu 50 per hour, we can use an algebraic expression.

The basic charge, which does not change with the number of hours worked, is known as the fixed cost or constant term in our expression. The charge per hour is a variable cost, since it changes depending on how many hours of service are needed.

Let's define x as the number of hours of service provided. The total cost y can be expressed as:

Algebraic Expression

y = 200 + (50 × x)

For part ii, to find out how much the service provider will charge for 3 hours of service, we substitute x = 3 into our expression:

y = 200 + (50 × 3)

We then calculate:

y = 200 + 150

y = 350

So, the service provider will charge nu 350 for 3 hours of service.