Four boxes of pencils cost $5.
1. Write an equation that represents the total cost, \( y \), for \( x \) boxes of pencils.
2. What is the slope of the equation?
3. What does the slope represent? Interpret the slope.
Please show all work and provide reasoning.
Answer (3)
Given 4 boxes of pencils cost $5, Unknown- slope $1.25 per box since $5/boxes Equation y=mx+b Substitute $1.25/per box for m Solve y=$1.25x The Check $5=$1.25/per box(4 boxes) $5=$5
The equation that represents the total cost, y, for x boxes of pencils is y = 1.25x. The slope of the equation is 1.25, which represents the cost per box of pencils. ;
The equation representing the total cost for x boxes of pencils is y = 1.25 x , with a slope of 1.25. This slope indicates that for each additional box of pencils, the total cost increases by $1.25. Thus, the cost per box is $1.25.
;
