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

The slope of the line (which represents the rate of change) for Eliana's savings is calculated using the formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,94)\). Then \(m=\frac{94 - 0}{2-0}=\frac{94}{2}=47\) dollars per week.

Step2: Compare the rates

Lana's saving rate is \(50\) dollars per week. Since \(50>47\)

Answer:

Lana is saving at a greater rate.