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
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.
To find the unit rate for Fred's Sub Shop, we need to look at the table, graph, and equation provided.
Looking at the table, we can see that as the number of subs increases, the cost in dollars also increases.
Looking at the graph, we can see that the line passes through points (2, 10), (4, 20), and (6, 30).
Using the equation of a line, we can determine the slope, which represents the unit rate. The equation for a line is y = mx + b, where m is the slope.
Using the points (2, 10) and (4, 20), we can calculate the slope:
m = (change in y) / (change in x)
m = (20 - 10) / (4 - 2) = 10 / 2 = 5
Therefore, the unit rate for Fred's Sub Shop is $5 for 1 sub.
The correct answer is B. $5 for 1 sub.
To find the unit rate, we need to determine the cost for each sub at Fred's Sub Shop.
From the given information, we can see that the cost of 2 subs is $10, the cost of 4 subs is $20, and the cost of 6 subs is $30.
To find the unit rate, we can divide the cost by the number of subs.
For Fred's Sub Shop:
Unit rate = Cost / Number of subs
Using the given information:
Unit rate = $10 / 2 = $5 for 1 sub
Therefore, the correct answer is B. $5 for 1 sub.