Question

this graph shows how angies bank account balance is related to the number of raffle tickets she purchases. if angie buys 1 raffle ticket, what will the account balance be? $8 $2.50 $3 $4.50

Explanation:

Step1: Find the slope of the line

The line passes through \((0,5)\) and \((10,0)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 5}{10 - 0}=-\frac{1}{2}\)

Step2: Find the equation of the line

Using the slope - intercept form \(y = mx + b\), where \(b = 5\) (the \(y\) - intercept when \(x = 0\)) and \(m=-\frac{1}{2}\). So the equation is \(y=-\frac{1}{2}x + 5\)

Step3: Substitute \(x = 1\) into the equation

When \(x = 1\), \(y=-\frac{1}{2}(1)+5=-\frac{1}{2}+5=\frac{-1 + 10}{2}=\frac{9}{2}=4.5\)

Answer:

\(\$4.50\)