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ki77a [65]
1 year ago
14

At 103°F, a certain insect chirps at a rate of 101 times per minute, and at 105°F, they chirp 107 times per minute. Write an equ

ation in slope-intercept form that represents the situation.
Mathematics
1 answer:
Aneli [31]1 year ago
5 0

An equation in slope-intercept form that represents the situation is y = 3x - 208.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, we have the following points:

Points on x-axis = (103, 105).

Points on y-axis = (101, 107).

Substituting the given points into the formula, we have;

Slope, m = (107 - 101)/(105 - 103)

Slope, m = 6/2

Slope, m = 3

Mathematically, the slope-intercept form of a straight line is given by;

y = mx + c

Where:

  • x and y are the points.
  • m represents the slope.
  • c represents the intercept.

At point (103, 101), an equation in slope-intercept form is given by:

y - y₁ = m(x - x₁)

y - 101 = 3(x - 103)

y - 101 = 3x - 309

y = 3x - 309 + 101

y = 3x - 208.

Read more on slope-intercept form here: brainly.com/question/1884491

#SPJ1

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1 6/7 inches of snow in 1 hour

Step-by-step explanation:

13 divided by 7 is 1 6/7

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Perry invested in property that cost him $1500. Five years later it was worth $3000, and $10 years from his original purchase, i
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Answer:

A

Step-by-step explanation:

A linear function increases/decreases by a certain amount every year. As it changes 1500 over the first 5 years (300 per year) and 3000 over the next 5 (600 per year), this cannot be liner

A quadratic function goes down then up, or vice versa. This consistently goes up, and is therefore not quadratic

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2x+8y=34 <br><br> 10y+2x=40 solve for y and x
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Step-by-step explanation:

6 0
3 years ago
Give the domain and range.
Scrat [10]

Answer:

The domain: {-3, 0, 3}

The range: {-6, 0, 6}

Therefore, option (a) is correct.

Step-by-step explanation:

Given the table

x    -3      0      3

y     -6     0      6

Determining the Domain:

  • We know that the domain of a relation is the set of all the x-values of the set X.
  • In other words, the domain of relation consists of all the input values.

Therefore, the domain: {-3, 0, 3}

Determining the Range:

  • We know that the range of a relation is the set of all the y-values of the set Y.
  • In other words, the range of relation includes all the output values.

Therefore, the range: {-6, 0, 6}

Therefore, we conclude that option (a) is correct.

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