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11. toll roads the table shows the cost for traveling on a toll road in…

Question

  1. toll roads the table shows the cost for traveling on a toll road in henderson. the graph shows the cost of traveling on a toll road in clarkson.

a. rate or slope for henderson toll road ____
b. rate or slope for clarkson toll road ____
c. which company has the greatest rate of change or slope? ____
henderson toll road costs

miles traveledcost ($)
206
309

clarkson toll road costs

Explanation:

Step1: Calculate Henderson's slope

Slope = $\frac{\text{Change in Cost}}{\text{Change in Miles}} = \frac{6-3}{20-10} = \frac{3}{10} = 0.3$

Step2: Calculate Clarkson's slope

Slope = $\frac{\text{Change in Cost}}{\text{Change in Miles}} = \frac{4.50-3.25}{10-5} = \frac{1.25}{5} = 0.25$

Step3: Compare the two slopes

$0.3 > 0.25$, so Henderson has a greater slope.

Answer:

A. $0.3$
B. $0.25$
C. Henderson Toll Road