Answer:
y = -1/4x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from the graph.</em>
Point (-4, -5)
y-intercept (0, -6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Add:

<u>Step 3: Write linear function</u>
y = -1/4x - 6
You need an equation system.
First, translate the text into equations :
y = total price for the bike
x = number of months
first bike :
y = 25x + 500
second bike :
y = 50x + 200
Then you have to solve the system by placing the two equations side by side and comparing them.
25x + 500 = 50x + 200
Solve to find the value of x
When i divide into ratio, i like to think of them as units:
so 24 will be divided into units, where the first thing gets 3 units and the second 5 units. In total those are 3+5=8 units.
so each unit will have 24/8=4
so the division into the two numbers is like this: the first one gets 3 units (3*4=12) and the second 5 (5*4=20)
so it's 12:20.
360 that is the answer to how many honors there are