Question
Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False
To find the answers to the statements, we need to analyze the given graph and understand the concept of slope.
In the graph, the x-axis represents the weight of the package, and the y-axis represents the cost of delivery. The graph shows an upward sloping line, indicating that as the weight of the package increases, the cost of delivery also increases.
a. When the weight is greater than 15 pounds, the cost will be greater than $10.
True: Looking at the graph, when the weight is greater than 15 pounds, the corresponding point on the graph is above the $10 line.
b. An equation that represents this graph is y = m*x + b.
False: The equation of the graph can be determined by finding the slope (m) and the y-intercept (b), but we don't have enough information in the question to determine those values. So, we cannot say that the equation is y = m*x + b.
c. The slope is 1.
False: The slope of a line can be determined by finding the ratio of the vertical change (y) to the horizontal change (x). In this case, looking at the graph, we can see that the slope is greater than 1 because for every increase in weight, the cost increases at a higher rate.
d. The cost of delivery decreases by $0.60 for each pound the weight decreases.
False: From the graph, we can see that the cost of delivery increases as the weight increases. Therefore, the cost of delivery does not decrease as the weight decreases.
So, to summarize:
a. True
b. False
c. False
d. False