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 begin 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. eliana saves at a greater rate because her unit rate of $ per week is greater than lanas unit rate of $ per week. b. lana saves at a greater rate because her unit rate of $ per week is greater than elianas unit rate of $ per week. total savings ($) time (weeks)

Explanation:

Step1: Find Eliana's unit - rate

From the graph, when time \(x = 2\) weeks, savings \(y=76\). The unit - rate (slope) for Eliana is \(\frac{y}{x}=\frac{76}{2}=38\) dollars per week.

Step2: Compare with Lana's unit - rate

Lana saves \(35\) dollars per week. Since \(38>35\), Eliana saves at a greater rate.

Answer:

A. Eliana saves at a greater rate because her unit rate of \(\$38\) per week is greater than Lana's unit rate of \(\$35\) per week.