Question

a screen printing shop prints custom t - shirts. the shop charges $11 for each t - shirt plus a one - time set - up fee of $25. write an equation for the total cost, y, of printing x t - shirts. write your answer in slope - intercept form. y =

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y\) - intercept (initial value).

Step2: Identify \(m\) and \(b\)

• The cost per T - shirt is \(\$11\). This is the rate of change of the total cost with respect to the number of T - shirts. So, \(m = 11\) (because for each additional T - shirt, the total cost increases by \(\$11\)).
• The one - time set - up fee is \(\$25\). This is the initial cost (when \(x = 0\), the number of T - shirts is 0, but we still have to pay the set - up fee). So, \(b=25\).

Step3: Write the equation

Substitute \(m = 11\) and \(b = 25\) into the slope - intercept form \(y=mx + b\). We get \(y=11x + 25\).

Answer:

\(y = 11x+25\)