Create a detailed and eye-pleasing image that encapsulates the following scenario: An economic graph representing 30 days with alternating symbols to represent the days worked and the days absent. Use symbols such as a hammer and anisign for a day off for diversity, echoing the storyline of earning and missing out on income. Incorporate green and red colors to symbolize pay and fines respectively. Ensure that the image conveys the contrast between the reward of labor and the cost of absence without any text.

A worker was paid $218 for each day he worked and was fined $36 each day he was absent. at the end of 30 days he earned $5524. how many days he was absent?

218x - 36(30-x) = 5524

Well, it looks like this worker had a bit of a love-hate relationship with their job! Let's do some math to figure out how many days they were absent.

Let's assume the worker was absent for x number of days. Now, let's calculate their earnings and fines.

Since the worker earned $218 for each day they worked, their earnings would be 218 * (30 - x).

Similarly, since they were fined $36 for each day they were absent, their fines would total 36x.

Now, we can set up an equation to represent the situation:

Earnings - Fines = Total earnings

218 * (30 - x) - 36x = 5524

Now, let's solve the equation and find the value of x.

218 * 30 - 218x - 36x = 5524

6540 - 254x = 5524

-254x = 5524 - 6540

-254x = -1016

x = (-1016) / (-254)

x = 4

So, the worker was absent for 4 days. I hope he had a good reason for being absent, like a clown convention or a surprise party!

Let's break down the problem step-by-step:

Let's assume the worker was absent for "x" days.

The worker was paid $218 for each day he worked. So, he earned $218 * (30 - x) for the days he worked.

The worker was fined $36 for each day he was absent. So, he was fined $36 * x for the days he was absent.

The total amount the worker earned after 30 days is $5524.

So, we can write the equation: $218 * (30 - x) - $36 * x = $5524

Now, let's solve for "x":

$218 * 30 - $218 * x - $36 * x = $5524

$6540 - $218x - $36x = $5524

Simplifying the equation:

- $254x = $5524 - $6540

- $254x = - $1016

Dividing both sides by - $254:

x = (- $1016) / (- $254)

x = 4

Therefore, the worker was absent for 4 days.

To find the number of days the worker was absent, we can use algebraic equations. Let's assume the worker was absent for 'x' days.

Since the worker was paid $218 for each day he worked and fined $36 for each day he was absent, we can create the following equations:

Number of days worked: 30 - x
Payment for days worked: ($218) * (number of days worked) = $218 * (30 - x)
Fine for days absent: ($36) * (number of days absent) = $36 * x

The total amount earned at the end of 30 days is given as $5524. Therefore, we can set up the equation:

Total amount earned = Payment for days worked - Fine for days absent
$5524 = $218 * (30 - x) - $36 * x

Now, let's solve this equation to find the value of 'x' (number of days absent):

$5524 = $218 * 30 - $218 * x - $36 * x
$5524 = $6540 - $254 * x - $36 * x
$254 * x + $36 * x = $6540 - $5524
$290 * x = $1016

Dividing both sides by $290:

x = $1016 / $290

Evaluating the right side of the equation:

x ≈ 3.5

Since x represents the number of days, we cannot have a fraction of a day. Thus, the worker was absent for approximately 3 days.