Question

The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row of values is missing in the table. Which numbers of stars and total points could be used as the missing values in the table? Choose 3 answers:

Answer 1

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

The missing table is attached.

Let  be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

$y=kx$

Where "k" is the constant of proportionality.

We can choose the point $(8,12$) from the table, where:

$x=8\\y=12$

Substituting these values into  $y=kx$ and solving for "k", we get:

 $12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5$

Knowing the value of "k", we determine that the  following Numbers of stars and the Total points could be used as the missing values in the table:

1) For $x=20$ :

$y=(1.5)(20)=30$

2) For $x=28$ :

$y=(1.5)(28)=42$

3) For $x=38$ :

$y=(1.5)(38)=57$

Answer 2

Answer:

a,c and d

Step-by-step explanation: