Multiple Choice

Use the table, graph, and equation to answer the following questions about three different sub shops.
What is the unit rate for Fred’s Sub Shop?

A line segment is graphed in the first quadrant of a coordinate graph. The horizontal axis is titled Number of Subs. The vertical axis is titled Cost in dollars.The segment starts at the origin and passes through the points left parenthesis 2 comma 10 right parenthesis, left parenthesis 4 comma 20 right parenthesis, and ends at the point left parenthesis 6 comma 30 right parenthesis.
A. $10 for 2 subs
B. $5 for 1 sub
C. $1 for of Fraction is 1 over 5. a sub
D. $30 for 6 subs

1 answer

To find the unit rate for Fred’s Sub Shop, we need to find the slope of the line segment.

Using the coordinates given:

Slope = (Change in y) / (Change in x)

Slope = (30 - 0) / (6 - 0) = 30/6 = 5

This means that for every increase of 1 in the number of subs, the cost increases by $5.

Therefore, the unit rate for Fred’s Sub Shop is option B: $5 for 1 sub.