Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number of gallons of gas remaining in her gas tank after driving for t hours. A graph of G is shown below. Write an equation for G then state the slope of the graph and determine its interpretation in the context of the problem.

Slope =

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points and is,

'm' =

Slope of the line passing through (8, 5) and (4, 10),

m =

m = -

Equation of line will be,

G =

Since, point (8, 5) lies on this line,

5 =

5 = -10 + b

b = 15

Therefore equation of the function will be,

G =

Here slope of the function represents the gallons of gas is consumed to drive the car for one hour.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without