jessica made $234 for 13 hours of work. At the same rate, how many hours would she have to work to make $162?

9 hours

We would get:

1 hour of work = $18

162 divided by 18 = 9

So she would have to work 9 hours

9 hours

Step-by-step explanation:

Step One: A rate is the same thing as ratio. This just means that there is a proportion. For example, for every 3 dogs, there are 4 cats. This would mean that for 6 dogs there are 8 cats, and so on.

Step Two: Okay, because these numbers are larger, it is easiest to scale it back to one. The proportion or rate given is $234/13 hours. We would divide by 13 to get it to 1: $18/1 hour. The proportion is usually a decimal, but these numbers happen to divide nicely.

Step Three: Now, we can do 162/18 to see what the scale is, or how much times larger it is: 162/18=9.

Step Four: Lastly, just do 1 times 9, which tells it is 9 hours. To check the work, make sure 9 is less than the original proportion; it should take less time to make less money. 9 is less than 13, so this is the answer!

salary

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.