Question Solved1 Answer The function that models the population (in thousands) of U.S. boys age 5 and under t years after 2010 is B(t) = -3.17t2 + 119t + 10253 and a function that models the population (in thousands) of U.S. girls age 5 and under t years after 2010 is G(t) = -3.02t2 + 114t + 9802. 1) Find the equation that models the total estimated population (in thousands) of all U.S. children age 5 and under t years after 2010. 2) Use the equations given and the equation you found in part 2 to predict the number of boys, the number of girls and then the total number of children in the U.S. that are age 5 and under in a year of your choice (after 2010 but before 2021).

BA6BNN The Asker · Advanced Mathematics

The function that models the population (in thousands) of U.S. boys age 5 and under t years after 2010 is B(t) = -3.17t2 + 119t + 10253 and a function that models the population (in thousands) of U.S. girls age 5 and under t years after 2010 is G(t) = -3.02t2 + 114t + 9802.

1) Find the equation that models the total estimated population (in thousands) of all U.S. children age 5 and under t years after 2010.

2) Use the equations given and the equation you found in part 2 to predict the number of boys, the number of girls and then the total number of children in the U.S. that are age 5 and under in a year of your choice (after 2010 but before 2021).

More
See Answer
Add Answer +20 Points
Community Answer
Q3UIOG The First Answerer
See all the answers with 1 Unlock
Get 4 Free Unlocks by registration

Step1/2mjx-container[jax="CHTML"]{line-height: 0;}mjx-container [space="3"]{margin-left: .222em;}mjx-container [space="4"]{margin-left: .278em;}mjx-container [size="s"]{font-size: 70.7%;}mjx-assistive-mml{position: absolute !important; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); padding: 1px 0px 0px 0px !important; border: 0px !important; display: block !important; width: auto !important; overflow: hidden !important; -webkit-touch-callout: none; -webkit-user-select: none; -khtml-user-select: none; -moz-user-select: none; -ms-user-select: none; user-select: none;}mjx-math{display: inline-block; text-align: left; line-height: 0; text-indent: 0; font-style: normal; font-weight: normal; font-size: 100%; font-size-adjust: none; letter-spacing: normal; border-collapse: collapse; word-wrap: normal; word-spacing: normal; white-space: nowrap; direction: ltr; padding: 1px 0;}mjx-mi{display: inline-block; text-align: left;}mjx-c{display: inline-block;}mjx-mrow{display: inline-block; text-align: left;}mjx-mo{display: inline-block; text-align: left;}mjx-mn{display: inline-block; text-align: left;}mjx-msup{display: inline-block; text-align: left;}mjx-c::before{display: block; width: 0;}.MJX-TEX{font-family: MJXZERO, MJXTEX;}@font-face{font-family: MJXZERO; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Zero.woff") format("woff");}@font-face{font-family: MJXTEX; src: url("https://cdn.jsdelivr.net/npm/mathjax@3/es5/output/chtml/fonts/woff-v2/MathJax_Main-Regular.woff") format("woff");}mjx-c.mjx-c42::before{padding: 0.683em 0.708em 0 0; content: "B";}mjx-c.mjx-c28::before{padding: 0.75em 0.389em 0.25em 0; content: "(";}mjx-c.mjx-c74::before{padding: 0.615em 0.389em 0.01em 0; content: "t";}mjx-c.mjx-c29::before{padding: 0.75em 0.389em 0.25em 0; content: ")";}mjx-c.mjx-c3D::before{padding: 0.583em 0.778em 0.082em 0; content: "=";}mjx-c.mjx-c2212::before{padding: 0.583em 0.778em 0.082em 0; content: "\2212";}mjx-c.mjx-c33::before{padding: 0.665em 0.5em 0.022em 0; content: "3";}mjx-c.mjx-c2E::before{padding: 0.12em 0.278em 0 0; content: ".";}mjx-c.mjx-c31::before{padding: 0.666em 0.5em 0 0; content: "1";}mjx-c.mjx-c37::before{padding: 0.676em 0.5em 0.022em 0; content: "7";}mjx-c.mjx-c32::before{padding: 0.666em 0.5em 0 0; content: "2";}mjx-c.mjx-c2B::before{padding: 0.583em 0.778em 0.082em 0; content: "+";}mjx-c.mjx-c39::before{padding: 0.666em 0.5em 0.022em 0; content: "9";}mjx-c.mjx-c30::before{padding: 0.666em 0.5em 0.022em 0; content: "0";}mjx-c.mjx-c2C::before{padding: 0.121em 0.278em 0.194em 0; content: ",";}mjx-c.mjx-c35::before{padding: 0.666em 0.5em 0.022em 0; content: "5";}mjx-c.mjx-c47::before{padding: 0.705em 0.785em 0.022em 0; content: "G";}mjx-c.mjx-c34::before{padding: 0.677em 0.5em 0 0; content: "4";}mjx-c.mjx-c38::before{padding: 0.666em 0.5em 0.022em 0; content: "8";}Given: The function that models the population I in thousands) of U.S. boys age 5 and under t years after 2010 is B(t)=−3.17t2+119t+10,253.A function that models the population of U.S. girls age 5 and under t years after 2010 is : G(t)=−3.02t2+114t+9,802.To Find: The equation that models the total estimated population ( in thousands) of all U.S. children age 5 and under t years after 2,010.Explanation:Please refer to solution in this step.Step2/2mjx-container[jax="CHTML"]{line-height: 0;}mjx-container [space="2"]{margin-left: .167em;}mjx-container [space="3"]{margin-left: .222em;}mjx-container [space="4"]{margin-left: .278em;}mjx-container [size="s"]{font-size: 70.7%;}mjx-itable{display: inline-table;}mjx-assistive-mml{position: absolute !important; top: 0px; left: 0px; clip: rect(1px, 1px, 1px, 1px); padding: 1px 0px 0px 0px !important; bor ... See the full answer