In 2014, the enrollment at an after-school childcare program was approximately 2,500 students. In 2016, the enrollment had increased to 4,000 students. If the enrollment continues to increase at this constant rate, what is a reasonable projection of the after-school enrollment for 2017? A.
4,000 students
B.
4,750 students
C.
5,750 students
D.
6,500 students

B

Step-by-step explanation:

In 2 years it grows by 1,500 so in 1 year it should be 750 because 1500 divided by 2 = 750

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

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step-by-step explanation: