Agirl out,
a survey was conducted among 200 students of age groups 7–12 years and 13–18 years to find their favorite movie genre. the students had to select any one genre out of comedy, action, and adventure. out of the 100 students in the age group 7–12 years who participated in the survey, 55 liked action or adventure movies. the total number of students of both age groups who liked comedy was 98.

using a two-way table, compute the total number of students in the age group 13–18 years who liked action or adventure movies.

a)43
b)47
c)53
d)57

i think its 47.

update: the correct answer is 47.

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.

thats not a system of equations, that is a solution