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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: [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.

  1. Substitute in points [Slope Formula]:                                                           [tex]\displaystyle m = \frac{30 - 45}{5 - 0}[/tex]
  2. [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).

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

And we have our final answer!

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