Question

the price of a video game is $30. you have a coupon that lowers the price by 75%. what is the price of the video game after using the coupon? identify and label the point on the double number line that represents the original price of the video game. dollars 0 0% 25% 50% 75% 100% 125% 150% 175%

Explanation:

Step1: Understand the original price

The original price of the video game is $30. On the double number line, the bottom line is for percentages (0% to 175%) and the top is for dollars. The original price corresponds to 100% of the price. Wait, but first, let's find the interval. Wait, the bottom line has 0%, 25%, 50%, 75%, 100%, etc. The top line: let's see the number of segments. From 0 to the first mark, then 25%, etc. Wait, the original price is $30, which is 100% of the price. Wait, maybe the top line's marks: let's see, the bottom line's 100% should correspond to the original price on the top line. Wait, the problem says "identify and label the point on the double number line that represents the original price of the video game". The original price is $30. Let's see the bottom line: 0% is 0, 100% should be the original price? Wait, no. Wait, the coupon lowers the price by 75%, so the original price is 100% of $30. Wait, maybe the top number line: the first mark is 0, then each segment? Wait, maybe the top line has marks where 100% (the 100% mark on the bottom) corresponds to $30? Wait, no, the bottom line's 0% is 0, 100% is the original price? Wait, maybe the top line's marks: let's count the number of intervals. From 0 to the first mark (25% on bottom), then 50%, 75%, 100%, etc. Wait, the original price is $30, which is 100% of the price. So on the top number line (dollars), the mark corresponding to 100% on the bottom (percentage) should be $30. Wait, but the bottom line's 100% is the fifth mark (0%,25%,50%,75%,100%...). So the top line's fifth mark (since 0% is first, 25% second, 50% third, 75% fourth, 100% fifth) should be labeled $30. Wait, but maybe the top line is divided into equal parts. Let's see, the bottom line has percentages: 0%,25%,50%,75%,100%,125%,150%,175%. So there are 8 intervals? Wait, no, from 0% to 25% is one interval, 25% to 50% is second, etc. So the top line (dollars) should have the same number of intervals. The original price is $30, which is 100% of the price. So 100% on the bottom corresponds to $30 on the top. So the mark on the top line that is aligned with 100% on the bottom should be labeled $30. Looking at the diagram, the bottom line's 100% is the fifth mark (after 0%,25%,50%,75%). So the top line's fifth mark (from the left, starting at 0) should be labeled $30.

Step2: Label the point

So on the top number line (dollars), find the mark that is aligned with the 100% mark on the bottom (percentage) number line. That mark should be labeled $30.

Wait, maybe I made a mistake. Wait, the original price is $30, which is 100% of the price. So on the bottom number line (percentages), 100% is the mark for the original price's percentage. So on the top number line (dollars), the mark aligned with 100% on the bottom should be $30. So we label that mark as $30.

Answer:

The point on the top number line (dollars) aligned with the 100% mark on the bottom number line (percentages) should be labeled $\boldsymbol{\$30}$.