a farmer ships oranges in wooden crates. suppose each orange weight the same amount. the total weight of a crate filled with g oranges is 24.5 pounds. write an equation that represents the relationship between the weight of the crate and the number of oranges it contains.

Given a farmer ships oranges in wooden crates supposed each orange weight the same amount the total weight of crate filled with G oranges is 24.5 lb. we have to find the equation between the weight of the crate and the number of oranges it contains.
Let the weight of crate is w lb. It is given that the weight of each orange is same amount the weight of crate.
Hence, weight of 1 orange is w lb
⇒ weight of G oranges is Gw lb
Total weight of crate filled with G oranges is 24.5 lb
⇒ weight of G oranges + weight of crate = 24.5
⇒ Gw+w=24.5 ⇒ (G+1)w=24.5
⇒
which represent the relationship between the weight of the crate and the number of oranges it contains

Answer

1 number

explanation

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.