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Sphinxa [80]
3 years ago
15

Find the slope for (2, 150) and (4,130)

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

-10

Step-by-step explanation:

A slope's equation for 2 points on a coordinate plane is y² - y^1 ÷ x² - x^1

Note that the exponents aren't meaning powered, but just as a marking.

x1 is 2, x2 is 4, y1 is 150, y2 is 130

130-150 / 4-2     =     -20/2, so -10

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A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbit
Savatey [412]

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

R(1) = 100(\frac{2}{5}.1 )

R(1) = 100(\frac{2}{5} )

R(2) = 100(\frac{2}{5}.2 )

R(2) = 100(\frac{4}{5} )

\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )

\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]

\Delta R= 40

Difference of rabbits between first and second months is 40.

b. R(0) = 100(\frac{2}{5} .0)

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = 100(\frac{2}{5}.10 )

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

500=100(\frac{2}{5}.t )

\frac{500}{100}=\frac{2}{5}.t

t = \frac{500.5}{100.2}

t = 12.5

In 12 and half months, population of rabbits will be 500.

3 0
3 years ago
Kwame bought a car for $25,000. The value of the car is decreasing at a rate of 6.5% each year. Write a function that represents
sweet-ann [11.9K]
<h3><u>The function that represents the price P of the car after x years is:</u></h3>

P = 25000(0.935)^x

<em><u>Solution:</u></em>

<em><u>The decreasing function is given as:</u></em>

y = a(1 - r)^t

Where,

y is future value

a is initial value

r is decreasing rate in decimal

t is time period

From given,

a = 25000

r = 6.5 \% = \frac{6.5}{100} = 0.065

number of years = x

future value = P

Therefore,

P = 25000(1 - 0.065)^x\\\\P = 25000(0.935)^x

Thus the function is found

8 0
3 years ago
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Andreyy89
Multiply the second fraction by two; which gets you 5/10 + 2/10 = 7/10
6 0
3 years ago
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lions [1.4K]

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