Name: MPM 2D0 - Assignment #5 - Quadratic Word Problems Read all instructions carefully. Include concluding statements for each question. 1. An online, music service called Peach Music, can sell 600 new subscriptions every week at $6.00 per new subscription. The manager is considering increasing the price. A marketing survey showed that for every $0.50 increase in price, there would be 30 fewer new subscriptions. MUSIC If x is the number of price increases and R is the revenue in dollars, this situation can be modelled by the following equation: R = -15x² + 120x + 3600 a) What price should they set per subscription in order to obtain the maximum weekly revenue, and b) How many subscriptions will they sell in order to achieve this maximum revenue? Calculate the necessary values by first completing the square. Show all work.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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