Question

Suppose a van gets 22 mi/gal. The distance traveled D(g) is a function of the gallons of gas used

a. Use the rule D(g)=22g to make a table of values and then a graph.

b. How far did the van travel if it used 10.5 gallons of gas?

c. Should the points of the graph be connected by a line?Explain

Answer 1

Answer:

a) Table and graph showed

b) The distance will be 231 miles

c) Yes

Step-by-step explanation:

We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as  

D(g)=22g, being g the number of gallons of gas used

a) The graph of the function D and its corresponding table of values is shown below.  

b) If the van used g=10.5 gallons of gas, the distance would be:

D(10.5)=22 x 10.5 = 231 miles

c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.