Question

this graph shows how jennys bank account balance is related to the number of raffle tickets she purchases. if jenny buys 5 raffle tickets, what will the account balance be? $2.50 $4 $5.50 $2

Explanation:

Step1: Find the slope of the line

The line passes through \((0,6)\) and \((8,0)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 6}{8-0}=-\frac{6}{8}=-\frac{3}{4}\)

Step2: Find the equation of the line

Using the slope - intercept form \(y = mx + b\), where \(b = 6\) (the \(y\) - intercept when \(x = 0\)). So the equation is \(y=-\frac{3}{4}x + 6\)

Step3: Substitute \(x = 5\) into the equation

\(y=-\frac{3}{4}(5)+6=-\frac{15}{4}+6=\frac{-15 + 24}{4}=\frac{9}{4}=2.5\)

Answer:

\(\$2.50\)