The table shows the world record times for the mile run, where t represents O corresponding to 1900, and y is the time in minutes and the year, with t = seconds. 23 33 45 54 58 y 4:10.4 4:07.6 4:01.3 3:59.4 3:54.5 66 79 85 99 y 3:51.3 3:48.9 3:46.3 3:43.1 A model for the data is given by the following, where the seconds have been changed to decimal parts of a minute. 3.351t2 + 42.461lt – 543.730 y = t2 (a) Use a graphing utility to plot the data and graph the model. 3 3 y y 2- 2 O 20 30 40 50 60 70 80 90 100 20 30 40 50 60 70 80 90 100 4 3 3 y y 2 2- 1- O 20 30 40 50 60 70 80 90 100 O 20 30 40 50 60 70 80 90 100 (b) Does there appear to be a limiting time for running 1 mile? O Yes No What is the limit? (If you need to use o or -o, enter INFINITY or -INFINITY, respectively.) min
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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