Question

Hurry! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, Fl to Atlanta, Ga. FedEx makes a graph to represent the miles per gallon the truck uses.

(a) Sketch a graph to represent the situation. Use one axis to represent the number of miles and the other axis to represent the number of gallons. Label your intercepts.

(b) What is the domain in this situation? explain you answer.

(c) What does the origin of the graph represent in this situation? explain your answer

Answer 1

(a) The graph is shown below.

(b) Domain : [0,90]

(c) Origin represents the initial position of the truck.

Explanation:

(a) Let no. of miles be y and no. of gallons be x. Then, initially x=0 and y=0 and when x=90 then y=660 . The equation of this determined by formula:

`y-y_(1)=m\cdot (x-x_1) , m=(y_2-y_1)/(x_2-x_1)\\m=(22)/(3)\\y=(22)/(3)\cdot x`

So the corresponding graph for this equation is given below :

(b) Domain : [0,90]

(c) Origin represents the initial position of truck when no. of gallons used is 0 and no. of miles covered is 0

Answer 2

Hello,

Please, see the attached files.

Thanks.