Answer:
H. t = -3h + 45
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
Coordinate Planes
- Reading a coordinate planes
- Axis
- Coordinate (x, y)
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify variables.
y-intercept (0, 45)
Point (5, 30)
Step 2: Find Slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
- Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{30 - 45}{5 - 0}[/tex]
- [Order of Operations] Simplify: [tex]\displaystyle m = -3[/tex]
Step 3: Find Equation
Our variables are h (x-axis) and temperature in °F (y-axis). Our slope tells us that for every increase in hours h, the temperature decreases by 3 °F. Our y-intercept tells us what temperature °F it was in the beginning (45 °F).
- Substitute in variables [Slope-Intercept Form]: t = -3h + 45
And we have our final answer!
