Question

john rented a truck for a week to move across the country to his new home. the truck rental company charged $19.95 per day and an additional $0.25 for each mile the truck was driven. the graph shows the daily charge for the rental.
truck rental
what is the domain of this graph?
a. {1,2,3,4,5} b. {m, t, w, th, f} c. {25, 50, 75, 100, 125} d. {58, 76, 71, 89, 39}

Explanation:

Step1: Recall domain definition

The domain of a graph (in this case, a bar graph) represents the set of all input values (the independent variable), which are the categories on the x - axis.

Step2: Identify the x - axis variable

In the "Truck Rental" bar graph, the x - axis is labeled with the days of the week: M, T, W, TH, F.

Step3: Match with options

• Option A: [1, 2, 3, 4, 5] are just numbers and not related to the days on the x - axis.
• Option B: {M, T, W, TH, F} are the days on the x - axis, which are the input values (domain) for the graph (where the input is the day and the output is the charge).
• Option C: {25, 50, 75, 100, 125} are values on the y - axis (the range, since they represent the charge amounts).
• Option D: {58, 76, 71, 89, 39} are not related to the x - axis labels.

Answer:

B. {M, T, W, TH, F}