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If 
y=38(1.04)^(x) is graphed in the 
xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?
Choose 1 answer:
A ) 
x-intercept
(B) 
y-intercept
(c) Slope
(D) The value 
y approaches as 
x becomes very large

If y=38(1.04)x y=38(1.04)^{x} is graphed in the xy x y -plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?\newlineChoose 11 answer:\newline(A) x x -intercept\newline(B) y y -intercept\newline(C) Slope\newline(D) The value y y approaches as x x becomes very large

Full solution

Q. If y=38(1.04)x y=38(1.04)^{x} is graphed in the xy x y -plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?\newlineChoose 11 answer:\newline(A) x x -intercept\newline(B) y y -intercept\newline(C) Slope\newline(D) The value y y approaches as x x becomes very large
  1. Identify Graph Characteristics: The equation given is y=38(1.04)xy = 38(1.04)^x. We need to identify which characteristic of the graph is represented by the constants or coefficients in the equation.
  2. Find y-Intercept: The y-intercept of a graph is the value of yy when xx is 00. To find the y-intercept from the equation, we substitute xx with 00.y=38(1.04)0y = 38(1.04)^0
  3. Simplify the equation: Any number raised to the power of 00 is 11. Therefore, (1.04)0(1.04)^0 equals 11.\newliney=38×1y = 38 \times 1
  4. Calculate Result: Multiplying 3838 by 11 gives us 3838. This means that the y-intercept of the graph is 3838.\newliney=38y = 38
  5. Interpret Constant Value: The constant 3838 in the equation y=38(1.04)xy = 38(1.04)^x is the y-intercept of the graph. This is because it is the value of yy when xx is 00, which is where the graph crosses the y-axis.

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