David and Ronald both are making cubic gift boxes with varying volume. The side length of David's gift box for a given volume is given by the function below, where (x - 1) is the volume of the box, in cubic feet. The side length, g(x), of Ronald's gift box for a given volume is shown in the table below, where x is the volume of the box, in cubic feet.

x 2 4 6 10
g(x) 1.26 1.59 1.82 2.15

Whose gift box has the greater side length for a given volume?

Option C Both gift boxes have the same length for a given volume

Step-by-step explanation:

Step-by-step explanation:

step 1

David's gift box

Calculate the side length of the box for a given volume

we have

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For  >

For  >

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therefore

Both gift boxes have the same length for a given volume

i think asking google will you get the answer to that question

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.