Grandpa mick opened a pint of ice cream. he gave youngest grandchild 1/5 of the ice cream and his middle grandchild 1/4 of the remaining ice cream. then, he gave his oldest grandchild 1/3 of the ice cream that was left after serving the others. who got the most ice cream? what fraction of the pint of ice cream will be left if grandpa mick serves himself the same amount as the second grandchild?

All the children and grandpa mick all had the same fraction of ice cream.

fraction of the pint of ice cream will be left if grandpa mick serves himself the same amount as the second grandchild.

Step-by-step explanation:

Amount of ice cream given to youngest grandchild =

Amount of an ice cream left after given to youngest grand child=

Amount of ice cream given to middle grandchild =

Amount of ice cream left after given to middle grandchild :

Amount of ice cream given to oldest grandchild =

Amount of ice cream taken by grandpa mick=

Amount of ice cream left after serving all including grandpa himself:

All the children and grandpa mick all had the same fraction of ice cream.

fraction of the pint of ice cream will be left if grandpa mick serves himself the same amount as the second grandchild.

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