McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Graphing Quadratic Functions
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Exercise 88 Page 103

Subtract 2002 from 2017 to find the needed t-value.

841

Practice makes perfect

When working with functions that involve time, we first need to determine the amount of time that has elapsed. This time t is defined as the number of years since 2002. Let's subtract that from 2017 to find our value. 2017-2002 = 15 Now, let's substitute t=15 into the given function.

Q = -0.5t^3+11.7t^2-21.5t+218.6
Q = -0.5( 15)^3+11.7( 15)^2-21.5( 15)+218.6
Q = -0.5(3375)+11.7(225)-21.5(15)+218.6
Q = -1687.5+2632.5-322.5+218.6
Q = 841.1

We can round and say the function predicts that 841 quadruplet births are expected for 2017.