Question

1. the graph shows the amount of savings over time in elianas account. lana, meanwhile, puts $50 each week into her savings account. if they both begin with $0, who is saving at the greater rate?

Explanation:

Step1: Find Eliana's savings - rate

The graph of Eliana's account is a straight - line. The rate of change (slope) of a line is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the graph, say $(2,188)$ and $(4,282)$. Then $m=\frac{282 - 188}{4 - 2}=\frac{94}{2}=47$. So Eliana saves $47$ dollars per week.

Step2: Compare with Lana's savings - rate

Lana saves $50$ dollars per week.

Answer:

Lana is saving at the greater rate.