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
C. $1 for of Fraction is 1 over 5. a sub
What is the slope-intercept equation for the cost of a sub at Fred’s Sub Shop?
A. y = 2x
B. y = 10x
C. y = 5x
D. y = 5x + 2
B. y = 10x
What is the slope of the line for the cost of subs at Sam’s Sub Shop?
Sam's Sub Shop
Cost
$11
$22
$44
Subs
2 subs
4 subs
8 subs
A. two over eleven
B. 5.5
C. 1/5.5
D. 5
C. 1/5.5
The equation for the cost for subs at Anne’s Restaurant is y = 4.75x. If the cost for subs at all three sandwich places were graphed, which would have the steepest line?
A. Fred’s
B. Sam’s
C. Anne’s
D. The lines would have the same slope.
C. Anne's
NONE ARE RIGHT
I apologize for the incorrect answer.
If the equation for the cost for subs at Anne's Restaurant is y = 4.75x and the equations for the other two sub shops are not provided, it is not possible to determine which sub shop has the steepest slope.
To determine the unit rate for Fred's Sub Shop, we need to identify the relationship between the number of subs and the cost in dollars.
By observing the given table, we see that for every additional 2 subs, the cost increases by $10. This means that the unit rate is $10 for 2 subs.
Next, let's check if any of the options match this unit rate:
A. $10 for 2 subs: This matches the given unit rate.
B. $5 for 1 sub: This option does not match the unit rate since it refers to the cost of a single sub, not 2 subs.
C. $1 for 1/5 of a sub: This option does not match the unit rate either, as it refers to a fraction of a sub, not 2 subs.
D. $30 for 6 subs: This option does not match the unit rate since it refers to the cost of 6 subs, not 2 subs.
Therefore, the correct answer is A. $10 for 2 subs.