Question

A doctor is doing a study of the height of children who eat their vegetables. He recorded the height of the children each year. The first year, the child was 36 inches. The second year, the child was 40 inches. The third year, the child was 44 inches. Write a function rule to represent the height of the child as an arithmetic sequence. How tall will the child be after 6 years?

Answer 1

\[\large a_1=36 \text{in}\]
\[\large a_2=40 \text{in} \]
\[\large a_3=44\text{in} \]
do u see the relation between each one and the next one?

Answer 2

yess i do so is that the answer or are you explaining it

Answer 3

each element (but the first one) is the previous one plus 4.
do u see that?

Answer 4

yes i see im starting to undertand it

Answer 5

ok so
\[\large a_i=a_{i-1}+4 \]
for \(i>1\).

Answer 6

okay so now i get it !! so easy thank you for your help

Answer 7

u r welcome

Answer 8

can you help with some more?

Answer 9

sure

Answer 10

Lee earns $6.25 per hour mowing lawns.
a. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
b. How much does Lee earn if she works 5 hours and 15 minutes?

Answer 11

1 hour 6.25 USD
2 hours \(6.25+6.25=\color{red}{2}\times6.25\) USD
3 hours \(6.25+.25+6.25=\color{red}{3}\times6.25\) USD
so
n hours ...

Answer 12

so the total of n hours is ?

Answer 13

can u figure out?

Answer 14

39. 375 ?

Answer 15

18.75 ?

Answer 16

if u work 3 hours u get paid 3 times 6.25. so if u work h hours u get paid
\[\large m=6.25\times h \]

Answer 17

i understand it its goood perfect

Answer 18

i wjust worked it out on paper

Answer 19

15 min = 1/4 hour
so for 5 hours and 15 min u get paid
\[\large m=6.25\times(5+1/4)=\$32.8125 \]

Answer 20

thats the exact samething i got thanks or helping me understand( :

Answer 21

u r welcome