Question

1. this table shows the cost of candy per pound for two stores. (2 points)

● which store has the higher unit rate?
● if you were to graph this data, which stores line would have a steeper slope?

Explanation:

Step1: Calculate unit rate for Store A

Unit rate = $\frac{\text{Cost}}{\text{Pounds of Candy}}$. For Store A, when pounds = 2 and cost = 4, unit rate $r_A=\frac{4}{2}=2$ dollars per pound.

Step2: Calculate unit rate for Store B

For Store B, when pounds = 2 and cost = 6, unit rate $r_B=\frac{6}{2}=3$ dollars per pound. Since $3>2$, Store B has a higher unit rate.

Step3: Relate unit rate to slope

In a cost - pounds graph (where $y$ - axis is cost and $x$ - axis is pounds), the equation of the line is $y = rx$ (where $r$ is the unit rate). The slope of the line is equal to the unit rate. Since $r_B>r_A$, Store B's line has a steeper slope.

Answer:

Store B has the higher unit rate. Store B's line would have a steeper slope.