QUESTION IMAGE
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? which point represents the unknown, the new price of the video game? dollars 0 a b 30 c 0% 25% 50% 75% 100% 125% 150% 175% b a c
Step1: Calculate the discount amount
The discount is 75% of $30. So, discount = $30\times0.75 = $22.5.
Step2: Find the new price
New price = Original price - Discount = $30 - $22.5 = $7.5.
Now, let's analyze the number line. The original price $30 is at 100%. The new price is (100% - 75%) = 25% of the original price? Wait, no. Wait, the discount is 75%, so the new price is 25% of the original price? Wait, 100% - 75% = 25%. So 25% of $30 is $7.5. Now, looking at the first number line (dollars), the points: 0, A, then some marks, B, 30, etc. Wait, maybe the number of segments between 0 and 30: let's see, from 0 to 30, how many intervals? Let's see the second number line (percentage) has 0%, 25%, 50%, 75%, 100%, etc. So the first number line (dollars) should be divided into the same number of intervals. So from 0 to 30, if 100% is 30, then 25% is $7.5, which is point A? Wait, no, wait the question is "Which point represents the unknown, the new price of the video game?" Wait, maybe the first number line: 0, A, then a mark, B, 30, then two more marks, then C. Wait, let's count the intervals. From 0 to 30, how many units? Let's see the percentage line: 0% to 100% is 30. So each 25% is $7.5 (since 30/4 = 7.5). So 25% is $7.5 (point A), 50% is $15, 75% is $22.5 (point B), 100% is $30. Wait, but the new price is after a 75% discount, so the price is 30 - 22.5 = 7.5, which is 25% of the original price, so that's point A. Wait, but the options are B, A, C. Wait, maybe I made a mistake. Wait, the coupon lowers the price by 75%, so the new price is 25% of the original price (100% - 75% = 25%). So 25% of $30 is $7.5. So on the dollar number line, point A is at 25% of 30, which is $7.5. So the point representing the new price is A.
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