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3 years ago

How can you show that two objects are proportional with an equation

Mathematics

1 answer:

V125BC [204]3 years ago

5 0

You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional :)

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You are going to spin the spinner once and flip the coin once. Write the total number of outcomes for your answer. II

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2 years ago

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Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an

stepladder [879]

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

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2 years ago

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

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Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

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3 years ago

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2 years ago

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