Question

jonathan and trina both earn $12 per hour, but trina earned a $15 bonus this week for being on time every day. let L= number of hours that jonathan worked this week and T= the number of hours that Trina worked this week. Which expression represents the total amount that Jonathan and Trina earned this week?

Answer 1

Answer:

See explanation!

Step-by-step explanation:

This is a typical problem of linear algebraic expressions which in simplest form are expressed as

$y=ax+c$

where

$y$  : is our dependent variable

$x$  : is our independent variable

$a$  : is the slope (or Rate)

$c$  : is the y-intercept (constant)

We are given the following information:

Jonathan earns $12 per hour, thus $a=12$

Trina earns $12 per hour, thus similarly $a=12$

Trina also earned a one-off bonus of $15 dollars, thus $c=15$ and since Jonathan didnt earn a bonus, his $c=0$

We are asked to represent Jonathan's number of hours with $L$ and Trina's with $T$. So let us write our linear expressions for each.

Jonathan:  $y_{J}=12L$

Trina:  $y_{T}=12T+15$

So the expression that represents the total amount that Jonathan and Trina earned this week is

$y_{J+T}=12L+12T+15\\\\y_{J+T}=12 (L+T)+15$ is your final answer.