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

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Find trigonometric ratios using a Pythagorean or reciprocal identity

Full solution

Q. If

y=38(1.04)^{x}

is graphed in the

x y

-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?

\newline

Choose

1

answer:

\newline

(A)

x

-intercept

\newline

(B)

y

-intercept

\newline

(C) Slope

\newline

(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 $1$ . $\newline$ $y = 38 \times 1$
Calculate Result: Multiplying $38$ by $1$ gives us $38$ . This means that the y-intercept of the graph is $38$ . $\newline$ $y = 38$
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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