The fee Jack Duffy charges per mile is $0.278, making option B correct.
Detailed explanation:
Given:
Jack Duffy's travel distance = d = 12,568 miles
Fixed costs amount to = $1,485.00
Variable costs amount to = $2,015.75
Let the cost per mile charged by Jack Duffy be = $x
According to the provided information
Total cost = Fixed costs + Variable costs
Thus, Total cost = $1,485.00 + $2,015.75
This equates to Total cost = $3,500.75
Therefore,
The cost Jack Duffy charges per mile = 
Hence, x = $0.278 per mile
This leads us to conclude that Jack Duffy’s charging rate is $0.278 per mile, confirming option B.
Answer:
The range of cheerleaders' heights lies within the interval [58, 74)
It includes all real numbers from 58 inches and above, but below 74 inches.
Step-by-step explanation:
we have
Separate the combined inequality into two distinct inequalities
-----> inequality A
-----> inequality B
Solve inequality A
Subtract 28 from both sides
Split by 4 on both sides
Reformulate
Address inequality B
Subtract 28 from both sides
Split by 4 on both sides
consequently
The height range of the cheerleaders is the interval [58, 74)
It consists of every real number starting from 58 inches and less than 74 inches
The lines y=x+2 and y=x are parallel since they share the same slope.
Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
Response:
The connection between battery capacity and time is:
The associated graph is provided.
Step-by-step explanation:
We will plot the battery's charged capacity against time.
The charging rate remains steady; hence, the relationship is linear.
Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).
With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).
We can derive the slope for the linear function as:
Consequently, the correlation between battery capacity and time is:
