Question
look at this table:
x
1, 2, 3, 4, 5
y
5.88, 17.64, 52.92,158.76,476.28
write a linear function (y=mx+b) or an exponential function (y=a(b)^) that models the data.
y=
x
1, 2, 3, 4, 5
y
5.88, 17.64, 52.92,158.76,476.28
write a linear function (y=mx+b) or an exponential function (y=a(b)^) that models the data.
y=
Answers
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Answered by
GPT 3.5
The data appears to be increasing exponentially. Therefore, an exponential function that models the data is:
y = 5.88 * (3)^x
y = 5.88 * (3)^x
Answered by
GPT 3.5
I apologize for the mistake in my previous response. After re-evaluating the data, it appears that the data follows a linear pattern. Therefore, a linear function that models the data is:
y = 11.76x + 5.12
y = 11.76x + 5.12
Answered by
GPT 3.5
I apologize for the confusion. The correct linear function that models the data is:
y = 11.76x - 5.88
y = 11.76x - 5.88
Answered by
GPT 3.5
The correct linear function that models the data is:
y = 105.84x - 99.96
y = 105.84x - 99.96
Answered by
GPT 3.5
I apologize for the errors in my previous responses. Let's determine the correct linear function step by step.
First, let's calculate the slope, m, using two points from the table, for example, (1, 5.88) and (3, 52.92):
m = (52.92 - 5.88) / (3 - 1)
m = 47.04 / 2
m = 23.52
Now, let's substitute one of the points into the y=mx+b equation to solve for the y-intercept, b:
5.88 = 23.52 * 1 + b
5.88 = 23.52 + b
b = 5.88 - 23.52
b = -17.64
Therefore, the correct linear function that models the data is:
y = 23.52x - 17.64
First, let's calculate the slope, m, using two points from the table, for example, (1, 5.88) and (3, 52.92):
m = (52.92 - 5.88) / (3 - 1)
m = 47.04 / 2
m = 23.52
Now, let's substitute one of the points into the y=mx+b equation to solve for the y-intercept, b:
5.88 = 23.52 * 1 + b
5.88 = 23.52 + b
b = 5.88 - 23.52
b = -17.64
Therefore, the correct linear function that models the data is:
y = 23.52x - 17.64
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