anonymous
  • anonymous
Two boys are comparing how fast they are growing. Alex is 60 inches tall and growing at a rate of 1/4 of an inch every month. Leo is 48 inches tall and growing at a rate of 1/2 of an inch every month. Graph the point representing the number of months it will take Alex and Leo to be the same height.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Here's the graph.
anonymous
  • anonymous
Are you sure, that they both grow 1 inch each month? Because then they will never reach the same height.
anonymous
  • anonymous
ohh nvm, it bugged for me. Now i see that it is 1/4 and 1/2.

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anonymous
  • anonymous
I fixed the question, Alex is growing at 1/4 inch a month and lea 1/2 inch a month.
anonymous
  • anonymous
So you can describe their height as a function. Alexs height: \[f(x)=60+\frac{1}{4}x\] and Leas height: \[f(x)=45+\frac{1}{2}x\]
anonymous
  • anonymous
Here x is the time in months.
anonymous
  • anonymous
So now you want to set the 2 equations equal to each other, and then solve x. Then you find how many months it takes for them to be equal height. \[60+\frac{1}{4}x=45+\frac{1}{2}x\] Can you solve x from here?
anonymous
  • anonymous
Oh, I think I understand it a little more now. Yeah, I'll try it out! If I still have trouble can I tag you?
anonymous
  • anonymous
Sure, but im going offline in like 10 mins. But sure just tag me
anonymous
  • anonymous
Okay, thank you so much! :)
anonymous
  • anonymous
You're welcome
anonymous
  • anonymous
Okay, @Tommynaiter I understand how the equation's supposed to be formatted and what each part means, I'm just having trouble understanding how to solve it haha. Like what are the final steps I take to get the answer?
anonymous
  • anonymous
Usually I'm pretty good at functions but I'm having trouble with this one.
anonymous
  • anonymous
So you want to solve x. First subtract 1/4x. This gives you \[60=45+\frac{1}{2}x-\frac{1}{4}x\]\[60=45+\frac{1}{4}x\] Subtract 45 on each side: \[15=\frac{1}{4}x\] Multiply with 4: \[60=x\]
anonymous
  • anonymous
So this gives you the graph.
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anonymous
  • anonymous
Hope it helped, i gotta go now
anonymous
  • anonymous
Oh, I was still working on it myself but thank you for the help!

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