Question

use the graph to solve the problems.

1. the graph shows the cost of tomatoes per pound at sams market and at a - town market. which market sells tomatoes for less money?

answer
justify your answer.

Explanation:

Step1: Understand the concept of slope in cost - per - pound graphs

The slope of a line in a cost - pounds graph represents the cost per pound. The formula for the slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For a line passing through the origin \((0,0)\) and another point \((x,y)\), the slope \(m = \frac{y}{x}\).

Step2: Compare the slopes of the two lines

Take a common \(x\) - value (say \(x = 10\)). For A - Town Market, assume the line passes through \((0,0)\) and \((10,35)\) (approximate from the graph). The slope \(m_{A - Town}=\frac{35}{10}=3.5\). For Sam's Market, assume the line passes through \((0,0)\) and \((10,30)\) (approximate from the graph). The slope \(m_{Sam}=\frac{30}{10}=3\).

Since \(m_{Sam}

Another way: For the same number of pounds (horizontal distance), the line of Sam's Market is lower (less cost on the \(y\) - axis).

Answer:

Sam's Market sells tomatoes for less money.