Question

a rose bush was 2 feet tall when mia place it . the rose grow 1 1/4 per year . the rose bush is 8 1/4 feet tall . how many years ago did she planted it ?

Answer 1

Step-by-step explanation:

ok so

your equation would be 8 1/4=1 1/4x + 2

you start with 2 and go up 1 1/4 per year.

we need to find x

8 1/4 - 2 is 6 1/4

5 of 1 1/4 makes 6 1/4

adding the 2 back is 8 1/4

your answer is 5 years

I hope this helped :)

Answer 2

Answer:

she planted the rose bush 5 years ago.

Step-by-step explanation:

That's first put all of our numbers into improper fractions

$2 = \frac{8}{4} \\ 1 \frac{1}{4} = \frac{5}{4}$

we're not going to worry about 8 and 1/4 since the rose bush was already 2 ft tall when she planted it it grew instead 6 and 1/4 ft so we will convert that into an improper fraction

$6 \frac{1}{4} = \frac{25}{4}$

we are now divide this height by the rate at which it grows

$\frac{ \frac{25}{4} ft}{ \frac{5}{4} \frac{ft}{yr} } = \frac{25}{4} \: ft \times \frac{4}{5} \frac{yr}{ft} = \frac{100}{20} yr = 5yrs$

The above equation The units feet cancel leaving us with only years.