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blagie [28]
3 years ago
6

Compare the two functions to see which has a greater rate of change. (Hint: change to y=mx+b format)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer:

Function 2

Step-by-step explanation:

The slope m is a measure of the rate of change.

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Change both functions into this form

- 2x + 5y = 10 ( add 2x to both sides )

5y = 2x + 10 ( divide all terms by 5 )

y = \frac{2}{5} x + 2 ← in slope- intercept form

with slope m = \frac{2}{5}

- 6x + 3y = 18 ( add 6x to both sides )

3y = 6x + 18 ( divide all terms by 3 )

y = 2x + 6 ← in slope- intercept form

with slope m = 2

Now 2 > \frac{2}{5}

Thus Function 2 has the greater rate of change

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nika2105 [10]
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We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation: y^{2} + z^{2} = 5625 and replace z^{2} and y^{2} using expressions that contain an expression in terms of x from the first two equations we came up with.

That gives us: 48^{2} + x^{2} + x^{2} + 27^{2} =5625 which we solve for x as follows:

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Now that we know x we can substitute 36 for x into the equation 48^{2} + x^{2} = z^{2} and solve for z as follows:
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This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
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