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. 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. total savings ($) elianas account time (weeks)

Explanation:

Step1: Find Eliana's unit - rate

The graph for Eliana shows a linear relationship. Using the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, with two points $(2,74)$ and $(4,148)$. $m=\frac{148 - 74}{4 - 2}=\frac{74}{2}=37$ dollars per week.

Step2: Compare with Lana's rate

Lana saves $35$ dollars per week. Since $37>35$, Eliana saves at a greater rate.

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.