A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables a
2 answers:
Answer: A 9-ounce candle is expected to burn for 27 hours.
Step-by-step explanation: Given that a 20-ounce candle is expected to burn for 60 hours and a 12-ounce candle is expected to burn for 36 hours.
If the variables are directly related, we are to find the number of hours that a 9-ounce candle is expected to burn.
Let, x represents the number of ounces of the candle and y represents the corresponding number of hours for which it burns.
Then, since the variables are directly related, the graph will be a straight line.
And, the two points (x, y) = (20, 60) and (12, 36) lies on the line.
So, the slope of the line will be
Therefore, the equation of the line is
So, if x = 9, then
Thus, a 9-ounce candle is expected to burn for 27 hours.
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A. If you use only the coupon you will have to pay $137.50.
B. Using the Coupon during the sale, the kit is discounted by $112.50
C. The total percent discount is 45% after both discounts.
Step-by-step explanation:
Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.
25% of $250 = × $250 = 0.25 × $250 = $62.50
So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.
Robotics kit price after 25% discount = $250 - $62.50 = $187.50.
Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.
45% of $250 = × $250 = 0.45 × $250 = $112.50.
So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.
Total discounted price = $250 - $112.50 = $137.50.