The function y = 2.5x - 1.5, represents the cost, y, of all tickets sold, x. What is true about the function? A. The function is linear because it will yield only one output for each input.
B. The function is linear because it yields multiple outputs for each input.
C. The function is non-linear because it does not have a constant rate of change.
D. The function is non-linear because it has a constant rate of change.

A

Step-by-step explanation:

y = 2.5x - 1.5

x          y

2          3.5

3          6

4          8.5

5          11    

The function is linear for one thing, because it does have a constant rate of change.

6 - 3.5 = 2.5

11 - 8.5 = 2.5

D is incorrect. because it is linear.

C is incorrect because it does have a constant rate of change.

B is wrong because any 1 input gives only one output

A is your answer.

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

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.