ALGEBRA HELP

Question

1. A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the
farmer plans to plant 250 new trees. Assuming all of the trees from one year live into the
next, which explicit formula below can be used to determine the total number of orange
trees, an, on this farm at the end of the n’th year ?
A. an=2250++250(n-1)
B.an=2000+250(n-1)
C.an=2250+250(n+1)
D.an=2000+250(n+1)

2. Jessie deposited $6,000 in a savings account. The amount in the account after 1, 2, and 3 years is shown below.
$6,240, $6,480, $6,720, ...
Which expression represents the total amount in her account at the end of t years? A.6000+240t
B.6240+240t
C.6000t+240
D.6240t+240

3. A fitness center introduces two offers. The first offer charges $27 per month plus $34enrollment fee. The other offer charges $30 per month plus $22 enrollment fee. Which of
these statements is true?
A. The first offer is always less expensive.
B. The second offer is always less expensive.
C. The first offer is less expensive for the first 3 months.
D. The second offer is less expensive for the first 3 months.

Answer 1

1.

 

A is the correct answer. The double+ is certainly a typo

 

 

2.

 

A is the correct answer. The observed Δ(amount in the account)/Δ(time in years) is equal to $240/year; therefore, at the end of "t" years, the amount on the account is equal to the sum of the initial amount in the account plus $240*t

 

 

3.

D is the correct answer. Let "m" represent the number of month. The total cost of the first and second options at the end of each month can be represented, respectively, by the expression 27*m +30 and 30*m + 22. The equality 27*m +30= 30*m + 22 is met at m=4