Solve your formula from problem 12 for m. Then find the taxi driver’s hourly rate of his pickup rate is $2 and he charges $19.50

Given:

The equation at hand is:

In this context, x represents the total tickets sold for the school play, while y indicates the total revenue generated from ticket sales.

To find:

The appropriate table of values from the provided options.

Solution:

It's clear that both the number of tickets and the revenue collected cannot be negative, which means that options A and B are not viable.

We have:

For ,

For ,

For ,

For ,

In option C, the ordered pairs (0,0), (10,50), (51,255), (400,2000) are present in the table. Thus, option C is the correct choice.

For

As the ordered pair (65,350) does not fulfill the requirements of the equation, thus option D is incorrect.

Consequently, the right option is C.

4 socks equal 1 pair of jeans
2 pairs of jeans equal 3 pairs of shoes
6 pairs of shoes equal 1 coat

Since 1 pair of jeans equals 4 socks, 2 jeans amount to 8 socks.
That means 8 socks correspond to 3 shoes.
If 3 shoes equal 8 socks, then 6 shoes would equal 16 socks.
Therefore, 16 socks are equivalent to 1 coat.
By this logic, 64 socks would translate to 64 divided by 16, which equals 4 coats.

2.8y + 6 + 0.2y = 5y – 14

Start by simplifying the left side:

3y + 6 = 5y - 14

Next, deduct 3y from both sides:

6 = 2y - 14

Add 14 to both sides:

2y = 20

Now, divide by 2:

y = 20 / 2

y = 10

To achieve a positive profit p(x)>0, we start with:


Next, we solve for x:


The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:


This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3

Answer: x ≥ 3.2 OR x ≤ -0.75

Here's how to solve the compound inequality step-by-step: start by separating it into two inequalities. For the first one, 5x - 4 ≥ 12, add 4 to both sides to remove the constant, leaving 5x ≥ 16. Then divide both sides by 5 to isolate x, resulting in x ≥ 3.2.

Now for the second part, 12x + 5 ≤ -4, subtract 5 from both sides to obtain 12x ≤ -9. Dividing both sides by 12 gives x ≤ -9/12, which simplifies to x ≤ -0.75. So, combining both, the solution is x ≥ 3.2 OR x ≤ -0.75.