Question

I’m not sure how to graph the equation and not sure what it means by “interpret”

Answer 1

Answers

Given the equation :

`y\text{ = -0.05 x +16 }`

(a) Graphing the equation

(i) let x = 0 ; then

y = -0.05 (0) +16

∴ y = 16

Point 1 = ( 0;16 )

(ii) let y = 0 , then

0 = -0.05x +16

0.05x = 16

x = 16 /0.05

∴ x = (320 )

point 2 = ( 320; 0 )

The graph of the line ( y = -0.05x+16) will then be as follows :

(b) Interpret the x and y intercept :

{To interpret means to explain in details or translate in writing the meaning of the values of x and y . }

• x represents the number of miles travelled

,

• y represents gasoline used i gallons

Interpretation:

• when ,x is 0 miles, , the ,gasoline ,is sitting at, 16 gallons.,( this might be the initial stage of travelling)

,

• however, when the, person has travelled 320 miles,, all gasoline is ,completly used up and sits at 0 gallons, .( this might be the end stage of travelling)