Question

topic 2 linear relationships
9 jaylen got a job paying $9.50 an hour at the coffee shop. bu
first week there he spent $70.00 on smoothies, muffins, and frozen
macchiatos.
a. write an equation that represents the amount netted, y,
given x number of hours worked.
( y = 9.5 x + 70 )
b. graph the equation.

c. identify the slope and y - intercept of the graph. explain what
each means in terms of the situation.
d. jaylen worked 35 hours this past week. what is the amount
netted on his paycheck?

Explanation:

Step1: Analyze the problem

We need to use the linear equation \(y = 9.5x-70\) (assuming a correction from the initial wrong - written equation in the problem statement, because if he earns \(9.5\) per hour (\(x\) is hours) and spends \(70\), the net \(y\) is \(y=9.5x - 70\)).

Step2: Substitute \(x = 35\) into the equation

Substitute \(x = 35\) into \(y=9.5x - 70\).

$$
LATEXBLOCK0
$$

Step3: Calculate the result

$$y = 262.5$$

Answer:

Jaylen netted \(262.5\) dollars.