Answer:
see below
Step-by-step explanation:
All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.
<u>first choice</u>: the y-values have a common difference of -2. This will be matched by a linear model.
<u>second choice</u>: the y-values have a common difference of +2. Again, this will be matched by a linear model.
<u>third choice</u>: the y-values have a common ratio of -2. This will be matched by an exponential model.
<u>fourth choice</u>: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.
Answer:
t = 204
Step-by-step explanation:
Let t = initial number of trees
"remove 5 trees at the start of the season" means
(t - 5) remain
"each remaining tree made 210 oranges for a total of 41,790 oranges" means
( t - 5) * 210 = 41790
Now, you can solve for t:
(t-5)(210) = 41790 [just re-writing]
210t - 1050 = 41790 [distribute]
210t = 42840 [add 1050 to each side]
t = 204 [divide each side by 210]
There were initially 204 trees. After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.
Answer:
Step-by-step explanation: