A small-order coffee company charges $12 for each bag of coffee plus $3 shipping no matter how many bags are ordered. Describe a function that this situation gives rise to. Make a table for this function, sketch a graph of this function, and fund an equation for this function. Is the function linear or not? How can you tell?
To find: The function, make table for the function, sketch a graph of the function, also find the equation of function and also check whether the function is linear or not.
Answer to Problem 1P
The equation of the function is
Explanation of Solution
Given information:
The cost of each bag of coffee plus is $12 and $3 shipping charges no matter how many bags are order.
Calculation:
The above problem gives rise to a coffee bag function.
The input of the function is the number of bags of coffee ordered and output of the function is charges charged by the coffee company.
Consider
The table represent the given coffee bag function as shown in Table 1
The number of coffee bags ordered is represented on
The point obtained from the Table 1 marked on the coordinate and join them.
The graph represented the given coffee bag function is shown in Figure 1.
It is observed from the Figure 1 that the total charges charge by the company is the sum of cost of each coffee bag
Therefore, the equation of the given coffee bag function can be obtained as,
The above equation is linear function because the graph of linear function is a line.
Therefore, the equation of the function
Conclusion:
Thus, the equation of the function is
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