The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .

This means an increase of 250 − 92 = 158 million in 1990 -1910 = 80 years or 158 80 = 1.975 million per year and in x years it will become 92 + 1.975 x million people. This can be graphed using the linear function 1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say p % every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .

This means an increase of 250 − 92 = 158 million in 1990 − 1910 = 80 years or

p % given by 92 ( 1 + p ) 80 = 250 which gives us ( 1 +p ) 80 = 250 92 which simplifies to p = ( 250 92 ) 0.0125 − 1 = 0.0125743 or 1.25743 % .

This can be graphed as an exponential function 92 × 1.0125743 ( x − 1910 ) , which gives population in a year y and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}

Step-by-step explanation:

Hope this helps

3 0

3 years ago

The band has 30 more members than the school chorale. If each group had 10 more members, the ratio of their membership would be

vladimir1956 [14]

Answer:

80 members

Step-by-step explanation:

Let the band members be= b and the chorale members= c

Then, according to question, b=c+30 and $\frac{b+10}{c+10}=\frac{3}{2}$