I plant a line of bamboo plants for a fence on my property line. I buy the plants when they are 10 inches tall, and the plants grow 3 inches a day. I am interested in how tall the plants will be after 10 days, and how long it will take them to grow to their full height of 70 inches. 12) Find an equation to model the situation given, using H for the height of the plants and t for time in days since I bought them.
we have
H -----> height of the plants
t ------> time in days since I bought them
we know that
the equation of a line in slope intercept form is given by
H=mt+b
where
m is the slope or unit rate
b is the y-intercept or initial value
in this problem we have that
m=3 in/day
b=10 in
substitute
H=3t+10
so
For t=10 days
substitute
H=3(10)+10
H=40 in
when H=70 in
substitute
70=3t+10
solve for t
3t=70-10
3t=60
t=20 days
m