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
Q. 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
Identify Graph Characteristics: The equation given is y=38(1.04)x. We need to identify which characteristic of the graph is represented by the constants or coefficients in the equation.
Find y-Intercept: The y-intercept of a graph is the value of y when x is 0. To find the y-intercept from the equation, we substitute x with 0.y=38(1.04)0
Simplify the equation: Any number raised to the power of 0 is 1. Therefore, (1.04)0 equals 1.y=38×1
Calculate Result: Multiplying 38 by 1 gives us 38. This means that the y-intercept of the graph is 38.y=38
Interpret Constant Value: The constant 38 in the equation y=38(1.04)x is the y-intercept of the graph. This is because it is the value of y when x is 0, which is where the graph crosses the y-axis.
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