Graphing Linear Equations Online Practice

Question

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Question
You made $280.00 for working 40 hours, which is described by 40y=$280.00x. Determine your earnings per hour.(1 point)
Responses

$11,200
$11,200

$70.00
$70.00

$7.00
$7.00

$0.14

Answer 1

To find your earnings per hour, you need to solve the equation given. The equation \(40y = 280x\) describes the relationship between hours worked (x) and earnings (y). Here, you worked 40 hours and made $280.

To find your hourly rate (y), which is your earnings per hour, you can manipulate the equation as follows:

1. Substitute \(x\) with 1, since we are looking for the amount earned in one hour:

   \[ 40y = 280 \cdot 1 \] \[ 40y = 280 \]

2. Now, divide both sides by 40:

   \[ y = \frac{280}{40} \] \[ y = 7 \]

This means your earnings per hour is $7.00.

So the correct response is: $7.00