Homeruns A baseball analyst wishes to find a functionthat relates the distance, d, of a homerun and the speed, s,of the ball off the bat. Consider the data shown to theright.(a) Does the relation defined by the set of orders pairs(s, d) represent a function?(b) Draw a scatter diagram of the data, treating speed offbat as the independent variable.(c) Using a graphing utility, find the line of best fit thatmodels the relation between the speed off the bat andthe distance of the homerun?(d) Interpret the slope.(e) Express the relationship found in part (c), using functionnotation.(f) What is the domain of the function?(g) Predict the homerun distance if the speed of the ball offthe bat is 103 miles per hour.Mixed Practice 20. Hurricanes The following data represent the atmosphericpressure p (in millibars) and the wind speed w (in knots)measured during various tropical systems in the Atlantic Ocean. Speed Off Bat (mph), s Homerun Distance (feet), d98 36999 381100 380100 397101 400102 383102 408104 392104 406104 421105 411107 396107 429109 404109 418
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.
Homeruns A baseball analyst wishes to find a function
that relates the distance, d, of a homerun and the speed, s,
of the ball off the bat. Consider the data shown to the
right.
(a) Does the relation defined by the set of orders pairs
(s, d) represent a function?
(b) Draw a
bat as the independent variable.
(c) Using a graphing utility, find the line of best fit that
models the relation between the speed off the bat and
the distance of the homerun?
(d) Interpret the slope.
(e) Express the relationship found in part (c), using function
notation.
(f) What is the domain of the function?
(g) Predict the homerun distance if the speed of the ball off
the bat is 103 miles per hour.
Mixed Practice
20. Hurricanes The following data represent the atmospheric
pressure p (in millibars) and the wind speed w (in knots)
measured during various tropical systems in the Atlantic Ocean.
Speed Off Bat (mph), s Homerun Distance (feet), d
98 369
99 381
100 380
100 397
101 400
102 383
102 408
104 392
104 406
104 421
105 411
107 396
107 429
109 404
109 418
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