2. when sarah planted her tomato plant, it grew 3 inches in
one week. after 5 weeks, the plant was 23 inches tall.
assume the relationship is linear. find and interpret the rate
of change and the initial value.

Step-by-step explanation:

the plant grows 3 inches in 1 weekso in 5 weeks, it will have grown

(5 * 3) = 15 inches...but it was 23 inchestherefore, the initial value of the plant was (23 - 15) = 8 inches

another words, when she planted the plant, it was already 8 inches tallit then grew 3 inches per week.

ur equation would be : y = 3x + 8with 3 being the slope(or rate of change) and 8 being the initial value (or the y intercept)

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet