Question

Please add an explanation to your answer.

Answer 1

Answer:

H. t = -3h + 45

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Reading a coordinate planes
• Axis
• Coordinate (x, y)

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

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.

1. Substitute in points [Slope Formula]:                                                           $\displaystyle m = \frac{30 - 45}{5 - 0}$
2. [Order of Operations] Simplify:                                                                     $\displaystyle m = -3$

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).

1. Substitute in variables [Slope-Intercept Form]:                                              t = -3h + 45

And we have our final answer!