1. in 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). the world population was estimated to be 5.3 billion in 1990.according to the model, when will the population of the world be double the 1990 population?
a. the population will double in approximately 270 years time, by 2260.
b. the population will double in approximately 17 years time, by 2007.
c. the population will double in approximately 58 years time, by 2048.
d. the population will double in approximately 116 years.

2. in 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). the world population was estimated to be 5.3 billion in 1990.

use the linear model to predict the world population in 2025.

a. according to the model, in 2025 the world population will be 84,937,500,000
b. according to the model, in 2025 the world population will be 8,493,750,000
c. according to the model, in 2025 the world population will be 5,302,607,000
d. according to the model, in 2025 the world population will be 8,037,500,000

1. Option C.

2. Option B.

Step-by-step explanation:

a. In year 1990, the rate of change of the world population was approximately 0.09125 billion per year.

World population in year 1990 = 5.3 billion

So the linear model which represents this situation will be

Present Population = (Rate of change in population)x + (Population in the base year 1900)

y = 0.09125x + 5.3

where x is the time in years

Now we have to find the year in which population will double.

Means we have to calculate x when y = 2×(5.3) billion

2×(5.3) = 0.09125x + 5.3

2×(5.3) - 5.3 = .09125x

5.3 = 0.09125x

x =

Therefore, Option C. after 58 years population of world will double the population of 1990.

b. In this part of the question we have to find the population in year 2025.

So for x = 35 years

As per linear model y = 0.09125×35 + 5.3

y = 3.19375 + 5.3 = 8.49375 billion or 8493750000

So option b. 8493750000 is the answer.

three-fourths of an hour

36÷48=0.75

0.75=

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: