A spinner and two cards are shown below. Which table correctly identifies the sample space of spinning the spinner and then selecting a card?

Question 1 options:

1)

Results of the spin

Card Color Green Yellow Purple
Purple Green, Purple Yellow, Green Purple, Green
Green Green, Green Yellow, Yellow Purple, Red

2)

Results of the spin

Card Color Green Yellow Purple
Purple Green, Purple Yellow, Purple Purple, Purple
Green Green, Green Yellow, Green Purple, Green

3)

Results of the spin

Card Color Green Yellow Purple
Purple Green, Green Yellow, Yellow Purple, Red
Green Green, Purple Yellow, Green Purple, Green

4)

Results of the spin

Card Color Green Yellow Purple
Purple Green, Purple Yellow, Purple Purple, Purple
Green Green, Green Yellow, Yellow Purple, Red

step-by-step explanation:

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details

step-by-step explanation:

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.