Tyrone likes to snack on his big bag of candy. He takes 8 pieces of candy from the bag each time he snacks. After eating 18 snacks, there are only 6 pieces of candy remaining in the bag.
The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats.

Solution:

Given that,

Tyrone takes 8 pieces of candy from the bag each time he snacks

After eating 18 snacks, there are only 6 pieces of candy remaining in the bag

The number c of pieces of candy remaining in the bag is a function of s, the number of snacks Tyrone eats.

Therefore,

"c" is the number of pieces of candy remaining in the bag

"s" is the number of snacks Tyrone eats

Thus,

total number of candy in the bag =

Remaining candy in the bag = Total candy - candy he ate

c = 150 - 8s

Thus the function is found

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2