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Arisa [49]
3 years ago
11

Which scenario best matches the linear relationship expressed in the equation y=-14+1700

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Question:

Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?

1) Kent has $1,700 in his bank account and spends $14 each week.

2) Kent has $1,700 in his bank account and deposits $14 each week.

3) Kent had $1,700 in his bank account and deposited another $14.

4) Kent has $14 in his bank account and spent $1,700.

Answer:

Option  1) Kent has $1,700 in his bank account and spends $14 each week.

Step-by-step explanation:

Let x denote the number of weeks.

Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.

Thus, Option 1 is the correct answer.

Option 2: Kent has $1,700 in his bank account and deposits $14 each week.

Writing it as equation, we have, y=14x+1700 which is not the expressed linear equation.

Hence,  Option 2 is not the correct answer.

Option 3: Kent had $1,700 in his bank account and deposited another $14.

Writing it as equation, we have, y=14+1700 which is not the expressed linear equation.

Hence,  Option 3 is not the correct answer.

Option 4: Kent has $14 in his bank account and spent $1,700.

Writing it as equation, we have, y=14-1700 which is not the expressed linear equation.

Hence,  Option 4 is not the correct answer.

Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.

The answer is Kent has $1,700 in his bank account and spends $14 each week.

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NEED ANSWER
grandymaker [24]

Answer:

\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1

Step-by-step explanation:

An ellipse centered a point (h,k) has the following formula:

\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1

The distance between foci is:

2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}

2\cdot c = 16

c = 8

The center of the ellipse is:

C(x,y) = (-8 + 8, 0 + 0)

C(x,y) = (0,0)

The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:

a = \sqrt{(12-0)^{2}+(0-0)^{2}}

a= 12

The length of the semi-minor axis is given by the following expression:

c =\sqrt{a^{2}-b^{2}}

b = \sqrt{a^{2}-c^{2}}

b = \sqrt{12^{2}-8^{2}}

b \approx 8.944

The equation of the ellipse is:

\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1

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Step-by-step explanation:

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