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8. the graph shows the amount of savings over time in elianas account. …

Question

  1. the graph shows the amount of savings over time in elianas account.

lana, meanwhile, puts $50 each week into her savings account.
if they both begin with $0, who is saving at the greater rate?

Explanation:

Step1: Calculate Eliana's saving rate

Use the formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Take two points from the graph, say \((2,188)\) and \((0,0)\).
\(m=\frac{188 - 0}{2-0}=\frac{188}{2}=94\) dollars per week.

Step2: Compare the rates

Eliana's rate is \(94\) dollars per week and Lana's rate is \(50\) dollars per week.

Answer:

Eliana is saving at the greater rate.