Final answer:
The equation h = -100m + 3000 represents a linear relationship because it is in the form of y = mx + b, where -100 is the slope and 3000 is the y-intercept, which defines a straight line.Therefore, the correct answer is. d
Step-by-step explanation:
The equation h = -100m + 3000 represents a linear relationship between h and m. In the standard form of a linear equation, y = mx + b, m represents the slope, and b is the y-intercept. In this case, -100 is the slope, and 3000 is the y-intercept. Since the equation is set up in this linear format, the correct answer to what type of relationship it represents is linear.
The given equation matches this form, with "h" analogous to "y," "-100" analogous to "m" (the slope), and "3000" analogous to "b" (the y-intercept). 2. Quadratic Relationship: A quadratic relationship is typically represented by an equation of the form y = ax^2 + bx + c, where a, b, and c are constants, and a is not equal to zero.
The given equation does not have an m^2 term, so it does not represent a quadratic relationship between h and m. 3. Exponential Relationship:
An exponential relationship would have the form y = a * b^x, where a and b are constants. Since there is no exponentiation involved in the given equation, it does not represent an exponential relationship between h and m. 4. Inverse Relationship: An inverse relationship would have the form y = a/x or y = k/x, where a and k are constants. This form involves division by the variable, and the given equation does not have this form
Examples of linear equations include y = -3x, y = 0.74x + 0.2, and y = mx + b, which all produce a straight line when graphed. This distinguishes linear relationships from quadratic, inverse, and exponential relationships, which produce different shapes in their graphical representations.Therefore, the correct answer is. d