Sung-hi is filling a sandbox with sand at the rate shown in the table below. which statement must be true regarding the linear function that represents this situation?

D. The rate of change must be 20 pounds per minute.

Step-by-step explanation:

At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.

Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.

D. The rate of change must be 20 pounds per minute.

4th one is correct!

Step-by-step explanation:

The rate of change must be 20 pounds per minute

since every minute there's 20 more pounds. Hope this helps!

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it