). Bees are one of the fastest insects on Earth. They can fly 22 miles in 2 hours, and 55 miles in 5 hours. Write an algebraic expression to show how many miles a bee can fly in h hours. If a bee flies 4 hours at this speed, how many miles will it travel?

Step-by-step explanation:

Look at the info given as (x, y) coordinates with the number of hours as x and the number of miles as y.  The first coordinate then is (2, 22) and the second is (5, 55).  The rate at which the bee flies is the same as the slope of the coordinates.

This means that the bee flies 11 miles per hour.  Use either one of the coordinates now to find the equation for the line.  I pick (2, 22) and point-slope form:

y - 22 = 11(x - 2) and

y - 22 = 11x - 22 so

y = 11x

That's the equation.  If we want to use it as a model, we can find how many miles it will fly in a given time, or how long it will take to fly a given number of miles.  We are asked to find how far it can fly in 4 hours.  So we will use our equation and replace x with 4:

y = 11(4) so

y = 44 miles

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w