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3 years ago

For a direct variation describe how the constant of variation affects whether y increases or decreases as x increases

1 answer:

7 0

Direct variation is of the form: y=kx (inverse variation is of the form y=k/x)

Assuming that k is positive :)

y increases as x increases and y decreases as x decreases. There is a direct ratio that is described by k. k=y/x.

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Your friend says "Multiplying a number by 5 is a 500% increase" Describe and correct the error in your friend's reasoning.

telo118 [61]

An increase is adding, not multiplying. they meant that 5 times a number is 500% of something. it would be a 400% increase as one plus four is five.

7 0

3 years ago

15/16 as a decimal rounded to the nearest tenth

matrenka [14]

Answer:

0.9

Step-by-step explanation:

$\frac{15}{16}=0.9375\approx0.9$

6 0

3 years ago

Claire rides her bicycle five miles each day for four days and two miles each day for the remaining three days of the week.

Olenka [21]

Answer:B.(5 x 4)+(2x3)

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2 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

3 years ago

1. The distance in feet that Karina swims in a race is represented by 4d-4, where d is the distance for each lap. What is an exp

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

1. 2( 2d + 2)

2.w + 12

3 0

3 years ago