Question

2. Luca works at a grocery store on the weekends. He earns $8.50 per hour.

Choose a variable to represent the number of hours Luca works.
Write an algebraic expression to represent the total amount Luca
earns from working at the grocery store.

Answer 1

y=8.50x

Explanation:

In this question we are asked to obtain an Algebraic Expression. Such expressions are equations defined by two constraints:

1. At least One Variable should be present

2. At least One Operation should be present

(i.e. addition, subtraction, multiplication or devision)

The most common and basic form of such expression will be a linear equation of the form:

`y=ax` Eqn(1).

where:

`y`: is our dependent variable (which changes with any change in
`x` and in this case denotes the total amount Luca earns for all hours worked at the grocery store.

`x`: is our independent variable, which here denotes the number of hours that Luca works.

`a`: is the relationship factor between
`y` and
`x`, which is a constant and here is given as $8.50.

Thus, employing Eqn(1) and plugging in the given information, we obtain an algebraic expression as:

`y=8.50x` Eqn(2).

which allows to compute the total amount Luca earns as a function of the number of hours worked at the grocery store. For example if Luca worked 10 hours then Eqn(2) reads:

`y=8.50*10=$85`

thus Luca would earn $85 if he worked for 10 hours at the grocery store.