Answered

Get expert insights and community support for your questions on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

Allie found a table of data displaying the number of middle and high school stud enrolled in Lincoln public schools . she made a table with the number of students in the 2015 as year 0 in the table of data.Lookimh at the enrollment in previous years,she decided to use an exponential equation to model the number of students.⚠COULD SOMEONE PLEASE HELP WITH THESE QUESTIONS⚠(Any info will help!!)⛧What is the growth multiplier for the data? complete the table using the multiplier.⛧⛧Write multiplier as a percent.⛧

Allie Found A Table Of Data Displaying The Number Of Middle And High School Stud Enrolled In Lincoln Public Schools She Made A Table With The Number Of Students class=

Sagot :

The general exponential growth formula is:

[tex]y=a\cdot b^x^{}[/tex]

where a is the initial amount, b is the growth multiplier, and y and x are the variables.

In this case, x represents years after 2015, y represents the number of students, and the initial value is a = 20,080.

Substituting with y = 20,582 when x = 1, we get:

[tex]\begin{gathered} 20,582=20,080\cdot b^1 \\ \frac{20.582}{20,080}=b \\ 1.025=b \end{gathered}[/tex]

Now, we can complete the table as follows:

[tex]\begin{gathered} x=2 \\ y=20,080\cdot1.025^2=21097 \\ x=3 \\ y=20,080\cdot1.025^3=21624 \\ x=4 \\ y=20,080\cdot1.025^4=22165 \end{gathered}[/tex]

Expressing the exponential growth formula with the rate of growth r:

[tex]y=a(1+r)^x^{}[/tex]

where b has been replaced by 1 + r. This means that r = 0.025, which expressed as a percent is 0.025*100 = 2.5% growth

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.