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s=-11.8(t-1.2)^(2)+17
The equation models the horizontal distance,
s, in centimeters, of a particular image on a computer screen from the left-hand edge of the screen,
t seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?
Choose 1 answer:
(A) 1.2 centimeters
(B) 5.2 centimeters
(c) 17 centimeters
(D) 34 centimeters

$s=-11.8(t-1.2)^{2}+17$ $\newline$ The equation models the horizontal distance, $s$ , in centimeters, of a particular image on a computer screen from the left-hand edge of the screen, $t$ seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ . $2$ centimeters $\newline$ (B) $5$ . $2$ centimeters $\newline$ (C) $17$ centimeters $\newline$ (D) $34$ centimeters

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Scale drawings: word problems

Full solution

Q.

s=-11.8(t-1.2)^{2}+17

\newline

The equation models the horizontal distance,

s

, in centimeters, of a particular image on a computer screen from the left-hand edge of the screen,

t

seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?

\newline

Choose

1

answer:

\newline

(A)

1

.

2

centimeters

\newline

(B)

5

.

2

centimeters

\newline

(C)

17

centimeters

\newline

(D)

34

centimeters

Question Prompt: The question prompt is: ＂How far to the right does the image travel during the on-screen animation?＂
Determining Maximum Horizontal Distance: To find out how far the image travels, we need to determine the maximum horizontal distance, $s$ , it can reach. This occurs at the vertex of the parabola represented by the given quadratic equation.
Vertex Form of the Equation: The equation is in the vertex form $s = a(t - h)^2 + k$ , where $(h, k)$ is the vertex of the parabola. In this case, $h = 1.2$ and $k = 17$ .
Maximum Value of $s$ : The maximum value of $s$ is at the vertex, so the maximum horizontal distance the image travels is $k$ , which is $17$ centimeters.
Distance Traveled by the Image: Therefore, the image travels $17$ centimeters to the right from the left-hand edge of the screen.

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