If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?

The cost per pound of bananas is $0.84.

Step-by-step explanation:

The question asks to use the given information to set up a proportion and solve for the missing variable.  In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89.  Since they are asking for cost per pound, we can set up a ratio (fraction):

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:

 Where 'x' is the cost.

Using cross-multiplication and division we get:  2.25x = 1.89.  Next, we use inverse operations to divide both sides by 2.25:  2.25x/2.25 = 1.89/2.25.  Solve:  x = 0.84 or $0.84 per pound.  

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

she will travel a distance in the range of 3 - 11 miles