Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply. f(n) = –6.5n + 14.5 f(n) = –1.

Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is .

Step-by-step explanation:

Given:

Initial gravel amount = ''.

Currently Given:

Throughout the day, 400 pounds of gravel is added to the pile.

Thus we can conclude;

Gravel amount after addition =

Also given:

Two orders of 900 pounds are sold and the gravel is taken from the pile.

Hence, two orders of 900 pounds =

This leads us to state;

Gravel amount post-removal =

Now Given:

Remaining gravel at the end of day = 1300 pounds.

Therefore, we derive that;

Consequently, the equation that best describes the scenario is .

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

Part A.

Steve's speed:

Distance: a minimum of 21 miles

Time: unknown, so

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed:

Elijah's speed:

Elijah's Distance walked: miles

Mercedes's Distance walked: miles

Time: x hours

Mercedes is 2 miles ahead, therefore

Elijah will trail behind until

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed:

Elijah's speed:

Elijah's Distance walked: miles

Aubrey's Distance walked: miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

Elijah will be ahead of Aubrey when

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

Response:

Detailed explanation:

You're likely in search of a function with a base that can be simplified to...

The functions you seem to be considering appear to be...

It looks like the third option is the one that fits your requirements.