Question

Aaron ran 3 laps around the track in one minute. Write an equation using laps, L, and x minutes he ran at the same rate.

Answer 1

$$
\begin{matrix}
x & | & L \\
\hline\\
1 & | & 3 \\
2 & | & 6 \\
3 & | & 9 \\
... & | & ... \\
\end{matrix}
so\\
f(x) = \bf ?
$$

Answer 2

what?

Answer 3

$$
\begin{matrix}
x & | & L \\
\hline\\
1 & | & 3 \\
2 & | & 6 \\
3 & | & 9 \\
... & | & ... \\
\end{matrix}\\
\text{so what would it be?}\\
f(x) = \bf ?
$$

Answer 4

i dont know

Answer 5

well, from the table above, when "x" is 1, L is 3laps, so after 1 min, 3 laps
when "x" is 2, well, twice the minutes, twice the laps, so 6laps
and so on

Answer 6

ok, if your mom gives you 3 cookies on monday,
then 6 cookies on tuesday
then 9 cookies on wednesday

how many would you expect to get on thursday?

Answer 7

12

Answer 8

so wats the equation

Answer 9

why would you expect 12?

Answer 10

beacuse you skip count by 3's

Answer 11

you're skipping count by 3, so day 1, 2 and 3 and 4 will be like

3(1) monday
3(2) tuesday
3(3) wednesday
3(4) thursday
3(x) WHENEVER DAY

thus your function for the cookies count skipping will be

f(x) = 3x or
cookies for WHATEVER DAY = 3x where "x" is a reference day

Answer 12

just give me the equation

Answer 13

same goes for the laps,

3(1) 1min
3(2) 2min
3(3) 3min
3(x)

Answer 14

so, f(x) = 3x
or L = 3x

Answer 15

but there is no f

Answer 16

yes, is just a generic term for "function"

Answer 17

f(x) means

the function or the value that is dependent on whatever the value of "x" is
so "x" is the INDEPENDENT variable, it changes to whatever on its own
f(x) is the DEPENDENT variable, it DEPENDS on "x" to gets its values