Stefan sells jin a bicycle for $173 and a helmet for $19. the total cost for jin is 160% of what stefan spent originally to buy the bike and helmet. how much did stefan spend originally? how much money did he make by selling the bicycle and helmet to jin?

a) $ 120

b) $ 53

Step-by-step explanation:

Cost of Bicycle paid by Jin = $173

Cost of Helmet = $ 19

Total amount paid by Jin = $173 + $19 = $192

This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:

192 = 160% of n

192 = 1.6n

n =

Thus, Stefan originally spent $120 for buying the bicycle and the helmet.

Profit which he made from this sale = $ 173 - $ 120 = $53

So he made $53 by selling Jin a bicycle and a helmet

19

step-by-step explanation:

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.