document.write( "Question 1197241: A tree is 7 feet tall when it is planted write a formula for the height H(t) of the tree after t years if the tree grows 4 feet every year H(t)
\n" ); document.write( "Grows 4 feet every 5 years H(t)
\n" ); document.write( "Grows 1 foot every 5 years H(t) \n" ); document.write( "

Algebra.Com's Answer #830430 by math_tutor2020(3817) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "

Rate	Formula
Grows 4 feet every year	H(t) = 4t+7
Grows 4 feet every 5 years	H(t) = (4/5)t+7
Grows 1 foot every 5 years	H(t) = (1/5)t+7

Side note: 4/5 = 0.8 and 1/5 = 0.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Each equation is of the form y = mx+b
\n" ); document.write( "y = H(t) = height at time t
\n" ); document.write( "m = slope = tells us how fast the tree is growing
\n" ); document.write( "x = t = input time value, in years
\n" ); document.write( "b = starting height = 7 for each equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If a tree grows 4 feet every 5 years, then it grows 1 foot every 4/5 = 0.8 years.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If needed, we can make a table of values.
\n" ); document.write( "Here's a sample table for the third formula
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "

t	H(t) = (1/5)t+7
0	7
1	7.2
2	7.4
3	7.6
4	7.8
5	8
6	8.2
7	8.4
8	8.6
9	8.8
10	9

Each time we reach a multiple of 5, we get to another whole number for H(t)
\n" ); document.write( "In other words
\n" ); document.write( "t = 0 leads to H(t) = 7
\n" ); document.write( "t = 5 leads to H(t) = 8
\n" ); document.write( "t = 10 leads to H(t) = 9
\n" ); document.write( "I'll let you generate the other tables if your teacher requires it.
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

\n" );