Cathy bough treats at her local bakery the past two weeks. The first week she bought 6 donuts and 3 muffins and paid $42. The second week she bought 3 donuts and 2 muffins and paid $24. How much does it cost for each donut and each muffin?

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

f

step-by-step explanation:

f

the answer is su.k.my? ? co.kc

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.