Question

the graph shows the amount of savings over time in elianas account. lana, meanwhile, puts $35 each week into her savings account. if they both began with $0, who is saving at the greater rate?
select the correct choice below and fill in the answer boxes to complete your choice
○ a. lana saves at a greater rate because her unit rate of $□ per week is greater than elianas unit rate of $□ per week.
○ b. eliana saves at a greater rate because her unit rate of $□ per week is greater than lanas unit rate of $□ per week.

Explanation:

Step1: Calculate Eliana's unit rate

The graph passes through the point \((2,74)\). The unit rate (slope) \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using the points \((0,0)\) and \((2,74)\), \(m=\frac{74 - 0}{2-0}=\frac{74}{2}=37\) dollars per week.

Step2: Compare with Lana's unit rate

Lana's unit rate is \(35\) dollars per week. Since \(37>35\)

Answer:

B. Eliana saves at a greater rate because her unit rate of \(37\) per week is greater than Lana's unit rate of \(35\) per week.