For the given situation identify the independent and dependent variables and then find a reasonable domain and range of values .Listed below will be four statements that relate to the given situation. Choose the statement that would have to be False given the situation and it’s parameters .

Jane owns a scooter that can travel 65 miles per gallon of gasoline. Her gas tank holds 2.5 gallons. She is planning on taking a

shopping trip around her city.

A. The domain is 2.5 gallons to 0 gallons.

B. The range is 0 miles to 162.5 miles.

C. The independent variable is how much gasoline she will use.

D. The Dependant variable is how many hours she will spend shopping in the stores.

D. is false

Step-by-step explanation:

The first thing is to define and find each of the things they ask us for:

 -Independent variable: It is the variable that does not depend on another value, that is, it would be the value to be defined. In the particular case, it would be the amount of gasoline to recharge.

 -Dependent variables: It is the variable that depends on the independent variable, its value depends on another value. In this particular case, then it would be the distance that can be traveled.

 -Domain: It is the value series, which can take the independent variable, in this case it is restricted by the vehicle's gas tank. The domain in this case is 0 to 2.5 gallons.

-Range: It is the series of values that the distance the vehicle can travel, is determined by the gasoline performance of the vehicle and limited by the amount of fuel. The range in this case is from or up to 162.5 (65 * 2.5) miles.

Based on this statement, A, B and C are correct.

Statement D is not related to the statement, and we already know what the dependent variable actually is.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form