The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas. Write an equation that represents the inverse function: the gallons of gas as a function of distance in miles.

Q: Define the term inversely proportional?

A: When the product of two elements is constant ,then they are called inversely proportional to each…

Q: the intensity of a light bulb varies inversely as the square of the distance you are standing from…

A: Topic - relation between two varibles and their equation formation

Q: The frequency, F (the number of oscillations per unit of time), of an object of mass m attached to a…

A: Calculation:a. The initial statement Frequency is inversely proportional to the square root of the…

Q: The weight M of an object on Mars varies directly as its weight E on Earth. A person who weighs one…

A:

Q: Given x varies inversely as y and a = -3 when y 8, find y when x = 4. Enter your answer in the box.…

A: x varies inversly as y means x is inversly proportional to y

Q: The price of a bag of coffee beans, P, varies directly with the size, S, of the bag. If a 20 oz bag…

A: Given that, the price of a bag of coffee beans, P, varies directly with size, S. P∝SP=kS Therefore,…

Q: The volume V of a given mass of gas varies inversely with pressure P. When V = 6 m³, it is known…

A: Given : V = 6m³ and P = 900 N/m³

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.