Question

2.5.ps-8
the graph shows the amount of savings over time in eliana’s 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 $\square$ per week is greater than lana’s unit rate of $\square$ per week.
b. lana saves at a greater rate because her unit rate of $\square$ per week is greater than eliana’s unit rate of $\square$ per week.
click to select and enter your answer(s) and then click check answer.
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elianas account
total savings ($)
time (weeks)
0 2 4 6 8
0 74 148 222 296
question help

Explanation:

Step1: Calculate Eliana's unit rate

From the graph, when time (weeks) $x = 8$, total savings $y = 296$. The unit rate (slope) is $\frac{y}{x}=\frac{296}{8} = 37$ dollars per week.

Step2: Compare with Lana's rate

Lana saves $35$ dollars per week. Since $37>35$, Eliana's unit rate is greater.

Answer:

A. Eliana saves at a greater rate because her unit rate of $\boldsymbol{37}$ per week is greater than Lana's unit rate of $\boldsymbol{35}$ per week.