Read the description of a proportional relationship. The Picture and Sound electronics store has hired Austin to work in the warehouse. He uses a pulley with a hand crank to lift heavy boxes. There is a proportional relationship between the number of times Austin turns the crank to lift a box, x, and the height the box has been lifted (in feet), y. He turns the crank 5 times to lift a box 2 feet. Write the equation for the relationship between x and y. y =

Q: The table shows a proportional relationship between the number of cartons of eggs, X, and the cost…

A: Given y(Branson) = 2x where  y = cost of x cartons of eggs x = number of cartons of eggs. y(Branson)…

Q: Find an equation in which y varies directly as x and y= 385 when x= 140. Then find the value of y…

A: ∵y α xSo, the equation  of  variation is given by∴y=KxWhere K is constant Substitute y=385  and…

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

A:

Q: The variable y varies directly with the square of x. If y = 100 when x = -5, then the equation…

A:

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.