Question

writing equations to represent a real - world system of linear equations
the volleyball team at west view high school is comparing t - shirt companies where they can purchase their practice shirts. the graph represents the two companies prices. what is the linear equation that represents each t - shirt company?
shirt box
just tees
$y = 5.5x$
$y = 10.5x$
$y = 6.5x + 30$
$y = 7.5x + 30$
(the graph has x - axis as number of t - shirts, y - axis as total cost ($), with points (4, 60) for shirt box and (6, 63) for just tees, and two lines: shirt box (starting at (0, 30) approximately) and just tees (starting at (0, 0))

Explanation:

Step1: Find Shirt Box's equation

First, identify two points for Shirt Box: the y-intercept $(0, 30)$ and $(4, 60)$. Calculate the slope:
$m = \frac{60 - 30}{4 - 0} = \frac{30}{4} = 7.5$
Use slope-intercept form $y = mx + b$ where $b=30$:
$y = 7.5x + 30$

Step2: Find Just Tees's equation

Identify two points for Just Tees: the y-intercept $(0, 0)$ and $(6, 63)$. Calculate the slope:
$m = \frac{63 - 0}{6 - 0} = 10.5$
Use slope-intercept form $y = mx + b$ where $b=0$:
$y = 10.5x$

Answer:

Shirt Box: $y = 7.5x + 30$
Just Tees: $y = 10.5x$