Answer:
Option a) (graph A)
Explanation:
The given problem entails a systems of linear equations, where Bakeries A and B can be represented with linear equations.
The slope represents the rate of change, or the ratio of the vertical change in y to the horizontal change in x.
The y-intercept is the point on the graph where it crosses the y-axis. In word problems, it often represents an intial amount or flat fee.
We can create the following linear equations for each bakery:
Bakery A = $0.50x + $1.25
where:
$0.50 = slope: the total cost increases by $0.50 for every donut sold.
$1.25 = y-intercept: flat fee for the membership card.
Bakery B = $0.25x + $5.00
where:
$0.25 = slope: the total cost increases by $0.25 for every donut sold.
$5.00 = y-intercept: flat fee for the membership card.
Since we know the y-intercepts for both bakeries, it is easier to approximate the closest representation of their graph. Both equations have positive slopes, which narrows down our options to either graphs A or C.
Next, using the y-intercepts as a reference, Graph A appears to be the closest representation of the given system because the y-intercepts are a bit farther from the point of origin. Additionally, one of the lines appears to cross right above (0, 4), which is more likely the y-intercept of Bakery B. Similarly, the other y-intercept on Graph A is right below point (0, 2).
For these observations, we can conclude that the correct answer is Option A.