24 times what equals 72
2 answers:
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Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3> The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:
Where "k" is the constant of proportionality.
We can choose the point ) from the table, where:
Substituting these values into and solving for "k", we get:
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 :
2) For :
3) For :
The generic equation of the line is:
Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:
Substituting values we have:
Rewriting:
Then, choosing an ordered pair we have:
Substituting values we have:
Rewriting the equation:
Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours