Create a visually compelling image that aids in understanding function rules in mathematics. It should include illustrations of three separate scenarios. The first scenario should represent the concept of converting ounces into pounds. The second one should portray a shopkeeper marking up the price of a product by 45 percent. The third scenario should depict a person who has walked 7 miles before lunch and then continues walking for an additional 2 hours at a variable rate of speed. Remember not to include any text in this image.

WRITE A FUNCTION RULE TO DESCRIBE EACH SITUATION.

PLEASE HELP I DO NOT UNDERSTAND THIS AT ALL.

The number of pounds p(z)as a function of the number of ounces z.

The selling price s(c)after a 45% markup of an item as a function of the stores' cost c.

The total number of miles m(r)covered when you walk 7 miles before lunch, and you walk for 2 hours at r mi/hr after lunch.

How many ounces are in a pound? 16. So you multiply the number of ounces (z) by 16 to get the pounds. Therefore,

p(z) = 16z

The selling price (s) is the original cost (c) plus 45%. That is 1.45 * cost, or 1.45c. Therefore,

s(c) = 1.45c

The total number of miles m(r) covered when you walk 7 miles before

lunch, and you walk for 2 hours at r mi/hr after lunch.

M(r)= r2+7

the answer is the answer.

Sure, I'd be happy to help! Here are the function rules for each situation:

1. The number of pounds p(z) as a function of the number of ounces z:
- We know that there are 16 ounces in 1 pound, so we can use this conversion factor to write the function rule.
- The function rule is: p(z) = z / 16

2. The selling price s(c) after a 45% markup of an item as a function of the store's cost c:
- To calculate the selling price after a 45% markup, we need to add 45% of the cost to the original cost.
- The function rule is: s(c) = c + (0.45 * c) = 1.45c (where 0.45 is equivalent to 45%)

3. The total number of miles m(r) covered when you walk 7 miles before lunch and walk for 2 hours at r mi/hr after lunch:
- The number of miles after lunch can be calculated by multiplying the speed (r) by the time (2 hours).
- The function rule is: m(r) = 7 + (2 * r)

I hope this helps! Let me know if you have any other questions.

To write a function rule to describe each situation, we need to understand how the different variables are related and how they affect each other.

1. The number of pounds p(z) as a function of the number of ounces z:
We know that there are 16 ounces in a pound. Therefore, to convert ounces to pounds, we need to divide the number of ounces by 16. So, the function rule would be:

p(z) = z/16

This means that to find the number of pounds, you divide the number of ounces by 16.

2. The selling price s(c) after a 45% markup of an item as a function of the store's cost c:
To calculate the selling price after a 45% markup, we need to add the markup amount to the original cost. The markup amount is calculated by multiplying the cost by 45% (or 0.45). The function rule would be:

s(c) = c + 0.45c

Simplifying this, we get:

s(c) = 1.45c

This means that to find the selling price, you multiply the original cost by 1.45.

3. The total number of miles m(r) covered when you walk 7 miles before lunch, and you walk for 2 hours at r mi/hr after lunch:
To calculate the total number of miles covered after walking for 2 hours at a certain speed, we need to multiply the speed (in miles per hour) by the time (in hours). However, we need to add the distance before lunch (7 miles) to this total. The function rule would be:

m(r) = 7 + 2r

This means that to find the total number of miles, you add 7 to the product of 2 and the speed in miles per hour.