Question

PLZ HELP ME ASAP !!!!!!!

Trent plants a sunflower that is 6inches tall. the sunflower is expected to grow at an average rate of 1.5 inches per day during the next month .

A) create an equation that Trent can use to find the number of days (X), it will take the sunflower to go a height of 45inches

B) How many days will it take for the sunflower to grow to a height of 45inches

Answer 1

let x= number of days

1.5x+6=45

subtract 6 from both sides

1.5x=39

divide both sides by 1.5 to get

x=26

it will take 26 days for the plant to reach 45 inches in height

Answer 2

A)
`x=(h-6)/(1.5)`

B)
`26`

Explanation:

A)Let's call the height of the plant
`h` and this height will be 6 inches on the day 0 like this:

`h=6`

on the day 1 of the month the plant will have the original 6 inches plus the height it grew the first day which will be 1.5 inches

`h=6+1.5`

on the day 2 of the month the plant will have the original 6 inches plus the height it grew the first day plus the height it grew the second day which will be again 1.5 inches

`h=6+1.5+1.5`

we can see that on the day 1 we add 1.5 inches one time, on the day 2 we add 1.5 inches two times. it is possible to say now that the height will be the original 6 inches plus 1.5 times the days of the month like this:

`h=6+1.5x`

We will solve for x because we need to find the number of days for a given h like this:

`h=6+1.5x\\h-6=1.5x\\x=(h-6)/(1.5)`

and this will be our equation that trent can use to find the number of days (x), it will take the sunflower to a given height.

B)to know how many days it will take for he sonflower to grow to a height of 45 inches we replace h in the equation with 45 like this:

`x=(h-6)/(1.5)\\x=(45-6)/(1.5)\\x=26`

The sunflower will take 26 days to grow to a height of 45 inches