On Tuesday, Mr. Miles walked 2/9 of the trail to warm up and then he ran 4/6 of the trail. What fraction of the trail did Mr. Miles cover on Tuesday?

8/9

Step-by-step explanation:

From the question, we are informed that On Tuesday, Mr. Miles walked 2/9 of the trail to warm up and then he ran 4/6 of the trail.

The fraction of the trail that Mr. Miles covered on Tuesday would be the addition of both fractions. This would be:

= 2/9 + 4/6

Note that the lowest common multiple of 9 and 6 is 8. Therefore,

= 2/9 + 4/6

= 4/18 + 12/18

= 16/18

= 8/9

He covered 8/9 of the trail

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.