Question

use the information given to answer the question.
anna is a cosmetologist. she can dye and cut hair in 2.75 hours and a do a set of nails in 1.5 hours. this week, anna works for 30 hours.
brooke works with anna occasionally to sell her hair products to other salons. the equation ( a = 7h + 75 ) represents the amount, a, in dollars, that
brooke is paid to distribute a shipment of h hair products.
what is the meaning of the initial value in the equation ( a = 7h + 75 )?
brooke is paid a flat fee of $75 for each shipment that she distributes.
brooke is paid $75 for each hair product that she distributes.
brooke is paid a flat fee of $7 each shipment that she distributes.
brooke is paid $7 for each piece of furniture that she distributes.

Explanation:

Step1: Analyze the linear equation form

The equation \(A = 7h+75\) is in the slope - intercept form \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y\) - intercept (initial value).

Step2: Identify the initial value

In the context of the problem, when \(h = 0\) (i.e., when there are no hair products distributed), \(A=7\times0 + 75=75\). This \(75\) represents a fixed amount that Brooke gets paid regardless of the number of hair products (\(h\)) she distributes.

Answer:

Brooke is paid a flat fee of \(\$75\) for each shipment that she distributes.