Roy uses 1/4 cup of batter for each muffin. Which list shows the amounts of batter he will use depending on the number of muffin
2 answers:
Roy uses 1/4 cup for each muffin
so if Roy makes 2 muffins he will need -
so to make 2 muffins he needs 2/4 cup
then to make 3 muffins he needs an additional 1/4 cup
therefore for each additional muffin he needs an additional 1/4 cup
so the list for the amount of cups he needes depending on the muffins hes making is as follows
1/4 , 2/4. 3/4 , 4/4, 5/4
so its a pattern with a difference of 1/4 cups for each muffin
the correct answer that gives this pattern is
B.1/4,2/4,3/4,4/4,5/4
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the shaded region is the solution to the system of inequalities:
i) y≤x+4
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The second line, through (1, 1) and (2, -1) is the purple line.
Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.
Both lines are included, since they are solid lines.
The equation of the first line can be found as follows:
the slope is
The equation of the second line can be found as follows:
the slope is
thus the equation of the second line is :
We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines,
so we write the inequalities so that they do not hold for (0, 4)
line 1:
y≥x+4
4≥0+4=4 is true, so we change the sign and write : y≤x+4
similarly, line 2:
y≤-2x+3
4≤-2*0+3=3, which is not true, so we have the correct direction.
Note that since the lines were solid, we include the equality case:
Answer:
the shaded region is the solution to the system of inequalities:
i) y≤x+4
ii) y≤-2x+3