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.

Question

anonymous · Answer

So you have to graph it use one axis as the height in inches, the other the length of time each month. So up the y axis would be 10, 20, 30 , 40, etc. while the x axis would have 1 month, 2, 3, 4, etc. Make sense so far?

spicytaco1 · Answer

kinda

anonymous · Answer

Lemme draw it

spicytaco1 · Answer

ok thank you

anonymous · Answer

ok my graph sucks. So basically, for every month that passes, Alex grows 1/2 as much as Leo. Since Alex grows 1/4 each month, he'll grow an inch after four months. Leo will have grown 2, since he's growing double as fast. For that reason, I'm gonna go by fours in the months on the graph, hang on

anonymous · Answer

So here the one is Alex, his slope is 1/4 so every four months he grows half an inch

anonymous · Answer

and Leo has a great slope of 1/2, he grows two inches every four months

anonymous · Answer

so where they cross is when they'll both be the same height. How many months?

spicytaco1 · Answer

48 months

anonymous · Answer

Yeah and you would graph the lines and the point where they meet. That make sense?

spicytaco1 · Answer

yes, thank you so much!

anonymous · Answer

No problem :)