Question

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. Consider the following data:

Answer 1

D. y = -16x2 + 80x + 50

Answer 2

@JoannaBlackwelder your gonna earn a ton of medals today lol

Answer 3

for this my answer was d but i wasnt sure if it was right

Answer 4

Haha, looks like I may be getting a bunch of medals. :-) But I don't think that equation models all of the data.

Answer 5

so d is not right or what

Answer 6

No, that model doesn't fit the data.

Answer 7

hold on ill explain what i did

Answer 8

Ok

Answer 9

the one thing I do notice is that since this is parabolic, everything will be symmetric about the vertex. Now the vertex is -b/2a. Now I also notice that 1 and 4 have the same value, which means the vertex HAS to be in between 1 and 4. The middle of 1 and 4 is 2.5. So what this means is that -b/2a has to equal 2.5. Only two of your answers meet that condition, a and d.Now between a and d, you would just need to plug in values. f(1) should equal 114. Looks like they do for a and d. Now to check f(2). Looks like only d works for f(2) so the answer is d

Answer 10

does that make since

Answer 11

Yeah, your statement makes sense, except that I don't get f(2) to be 146.

Answer 12

why whats confusing you

Answer 13

Oh, you're right! I made a typo. :-) That function does match the data!

Answer 14

ok thnx i just wanted to make sure my work waqs good

Answer 15

on to your next metal lol

Answer 16

Yep, no worries :-)