At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. at the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. what was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

the percent increase in the share price from the end of the first quarter to the end of the second quarter is 25%

Step-by-step explanation:

Assuming the initial share price of the mutual fund was x..

At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. This means that the share price of the mutual fund at the first quarter would be

x + (20/100 × x) = x + 0.2x = 1.2x

At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. This means that the share price of the mutual fund at the second quarter would be

x + (50/100 × x) = x + 0.5x = 1.5x

The percent increase in the share price from the end of the first quarter to the end of the second quarter would be

(1.5x - 1.2x)/1.2x × 100

= 0.3x /1.2x × 100 = 25%

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.

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step-by-step explanation: