* C
https://vle. mathswatch. co. uk/vle/browse/196/practice
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Toilet rolls come in packs of 4 and 9.
The 4-pack is priced at £2.25.
The 9-pack is priced at £4.50.
By calculating the price per roll, determine which pack is better value.
Show your working.
hi

the nine pack is better

Step-by-step explanation:

if you get 2 four pack you would have 8 for the price of 4.50. but in the nine pack you get an extra roll for the price of 8

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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.