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By: Baylee McBride. FUNctions !! . Real-World Problem. Sally is trying to figure out how much her bill cost for texting each month for 6 months. She sent 102, 105, 122, 127, 139, and 155 text messages. If text messages cost 10 cents per text how much money did it cost each month?.
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By: Baylee McBride FUNctions!!
Real-World Problem • Sally is trying to figure out how much her bill cost for texting each month for 6 months. She sent 102, 105, 122, 127, 139, and 155 text messages. If text messages cost 10 cents per text how much money did it cost each month?
The Equation • The equation to my problem is …. x(.10)=y or f(x)= x(.10) (function notation) X= text messages (independent) Y= bill (dependent)
Independent and Dependent The independent variable is my x value which is the number of text messages sent. The dependent variable is my y value which is the cost of the bill per month. We know that y DEPENDS on x. So the total cost of her bill per month DEPENDS on the number of text messages she sends per month. dependent Y axis I n d e p e n d e n t
Domain and Range • Domain is the x values. (input) • Range is the y values. (output) • So my domain is {102, 105, 122, 127, 139, 155} • My range is {10.20, 10.50, 12.20, 12.70, 13.90, 15.50} • Domain- X>O • Range- Y>O
Continuous or Discrete???? • Since my data contains only points and not a line, then it is a discrete graph. • You can not send 100 ½ texts, you can only send 101, 102, or 103 texts. So we will not use any of the numbers between 101 and 102.
Is it a Function? • A function is where each x value has a unique y value. • This means that the x values CAN NOT repeat. • Since my X values do not repeat, then it IS a FUNCTION.
Text Messaging Graph Y axis X axis
SOOO…………………………… • So the totals for the months were …….. • 1st month- $10.20 • 2nd month- $10.50 • 3rd month- $12.20 • 4th month- $12.70 • 5th month- $13.90 • 6th month- $15.50