Martin’s Gift Card
Days
2 4 5 7
Amount remaining 24.10 18.20 15.25 9.35
A.
y – 9.35 = −2.95(x – 7)
B.
y – 18.20 = 2.95(x + 4)
C.
y + 15.25 = −2.95(x + 5)
D.
y + 24.10 = 2.95(x – 2)
We want to see which linear equation represents the amount remaining on the gift card. We will see that the correct option is A:
y – 9.35 = −2.95(x – 7)
A linear equation in the point-slope form is written as:
y - y₁ = a*(x - x₁)
Where a is the slope of the line and (x₁, y₁) is a point on the line.
If we know two points on the line, (x₁, y₁) and (x₂, y₂) then we can write the slope as:
Here we can use the two first points:
(2, 24.10)
(4, 18.20)
Then the slope is:
Then the equation is something like:
y - y₁ = -2.95*(x - x₁)
Now, from the given options the only one where (x₁, y₁) is a point on the line is the first option, where:
x₁ = 7
y₁ = 9.35
So the correct option is A:
y – 9.35 = −2.95*(x – 7)
If you want to learn more, you can read:
B) 31 in.
C) 30 in.
D) 21 in.
B. 4/15 CUP
C. 3 3/4 CUPS
D. 6 2/3 CUPS
The solution is, 4/15 is the amount of sugar that should be used with 1 cup of flour.
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given
A bread recipe requires 3/4 cup of flour
and 1/5 cup of sugar
i.e. ratio of flour and sugar is 3/4 / 1/5
which will remain same for each time we make bread
When 1 cup of flour is used then amount of sugar is
Suppose x cup of sugar is required so equating the ratio of flour to sugar
to get one cup we can multiply by the reciprocal. (the oppisite of the current fraction) 3/4*4/3 = 1.
so then we need to raise the sugar by the same variable
1/5 * 4/3. cross multiplication gives us
1*4=4
3*5=15
x = 4/15
Hence, The solution is, 4/15 is the amount of sugar that should be used with 1 cup of flour.
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