Question

Which table represents the increasing linear function with the greatest unit rate?

x
y
2
16
5
10


x
y
2
14
6
12


x
y
2
-24
5
-15


x
y
2
-12
6
-16


x
y
2
-19
6
-17

Answer 1

@johnweldon1993

Answer 2

@Michele_Laino

Answer 3

@AlexandervonHumboldt2

Answer 4

@Compassionate

Answer 5

here you have to choose one ordered pair from each table. Foe example from first table I choose \((2,16)\). In this case the unit rate is: \(16/2=8\). Now please do the same with the remaining two tables of values

Answer 6

oops.. For* example

Answer 7

please wait a moment

Answer 8

so 5/10 = 2

Answer 9

sorry, we have to apply another procedure.
We have to write the equation for each of your three group of data

Answer 10

so the answer is B

Answer 11

for example, I start with the data collected in first table, namely: (2,14) and (6,12)
I write the henral equation of a linear function like below:
\(y=ax+b\)
then I replace the coordinates above, so I get this algebraic system:
\[\left\{ \begin{gathered}
14 = 2a + b \hfill \\
12 = 6a + b \hfill \\
\end{gathered} \right.\]
Now, I have to find the values of \(a\) and \(b\)

Answer 12

oops.. the general* formula

Answer 13

If I solve such algebraic system, I find:
\(a=-1/2\) and \(b=15\), so the linear function which models the data collected into your first table is:
\(y=-x/2 +15\), and the unit rate is \(-1/2\)
Now, please do the same, using data of the other two tables