The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts $50 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 Eliana's unit rate of $_ per week.
B.
Eliana saves at a greater rate because her unit rate of $_ per week is greater than Lana's unit rate of $_ per week.

A. Lana saves at a greater rate because her unit rate of $50 per week is greater than Eliana's unit rate of $48 per week.

Step-by-step explanation:

Eliana's savings per week = the rate of change of the graph

The rate of change of the graph given =

Using the points (0, 0) and (2, 96),

Rate of change =

This rate of change means, Eliana puts $48 dollars per week into her account.

Since Lana's saving rate per week is $50, therefore:

Lana saves at a greater rate because her unit rate of $50 per week is greater than Eliana's unit rate of $48 per week.