3. kevin went to the nursery and bought a 5 ft tall tree. after planting the tree, kevin made a table to record the height, h, of the tree, t years after it was planted. t 0 1 2 3 4 h 5 6 7 8 9 (a) use words to describe the relationship between the height of the tree and the number of years since it was planted. (b) use an equation to illustrate the relationship between the height of the tree and the number of years it has been planted.

(a) Directly proportional

(b) h = t + 5

Step-by-step explanation:

(a) We can see that the height of the tree and the years after it was planted are directly proportional as the height increases by 1 ft when it increases by 1 year. Therefore, they are directly proportional.

(b) Since at year 0, the height of the tree was already 5 ft, the y-intercept would be 5. Also to determine the gradient we can use , which is a change in height ÷ a change in years passed.

This will give us

Therefore, the gradient of the slope is 1.

Finally, the equation of the line is h = t + 5.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.