This week we continued to go over quadratic functions.
I learned that you could model problems with quadratic equations,
for example: Find two integers with a sum of 24 and the greatest possible product.
product is a multiplication word so we know that we have to multiply it to find it meaning that the PRODUCT= x ∙ y
we have to re-arrange the equation that we already have so that we can get it to have only one variable.
product=x ∙ (24-x)
(zero product law)
x=0 (1st term)
x=24 (inside brackets)
LOS= 0+24 divided by 2
then we would insert that into our standard form
p(x)= x (24-x)
p(12)= 12 (24-12)
144 is our maximum product
I found it very interesting that we didn’t need to have a word problem that involves something being thrown or going up nd down like a U shape and that instead we could still help solve it and graph it like one.