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[pi
Estela
degrees Celsius
(^(@)C). If the speed increases by
0.6(m)/(s) for every increase in temperature of
1^(@)C, which inequality best represents the temperatures,
T, in degrees Celsius, for which the speed of sound in air exceeds
350(m)/(s) ?
Choose 1 answer:
(A)
T < 30
(B)
T <= 30
(C)
T > 30
(D)
T >= 30
Shnuw ralrulator
4 of 10

Khan Academy $\newline$ Get Al Tutoring $\newline$ NEW $\newline$ ᄃ $\newline$ Donate $[\pi$ $\newline$ Estela $\newline$ degrees Celsius $\left({ }^{\circ} \mathrm{C}\right)$ . If the speed increases by $0.6 \frac{\mathrm{m}}{\mathrm{s}}$ for every increase in temperature of $1^{\circ} \mathrm{C}$ , which inequality best represents the temperatures, $T$ , in degrees Celsius, for which the speed of sound in air exceeds $350 \frac{\mathrm{m}}{\mathrm{s}}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $T<30$ $\newline$ (B) $T \leq 30$ $\newline$ (C) $T>30$ $\newline$ (D) $T \geq 30$ $\newline$ Shnuw ralrulator $\newline$ $4$ of $10$

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Solve one-step and two-step equations: word problems

Full solution

Q. Khan Academy

\newline

Get Al Tutoring

\newline

NEW

\newline

ᄃ

\newline

Donate

[\pi

\newline

Estela

\newline

degrees Celsius

\left({ }^{\circ} \mathrm{C}\right)

. If the speed increases by

0.6 \frac{\mathrm{m}}{\mathrm{s}}

for every increase in temperature of

1^{\circ} \mathrm{C}

, which inequality best represents the temperatures,

T

, in degrees Celsius, for which the speed of sound in air exceeds

350 \frac{\mathrm{m}}{\mathrm{s}}

?

\newline

Choose

1

answer:

\newline

(A)

T<30

\newline

(B)

T \leq 30

\newline

(C)

T>30

\newline

(D)

T \geq 30

\newline

Shnuw ralrulator

\newline

4

of

10

Denote Initial Speed: Let's denote the initial speed of sound in air at $0$ degrees Celsius as $v_0$ . According to the given information, the speed of sound increases by $0$ . $6$ (m/s) for every increase in temperature of $1$ degree Celsius. Therefore, the speed of sound in air at temperature T degrees Celsius can be represented by the equation: $\newline$ $v(T) = v_0 + 0.6T$ $\newline$ We need to find the value of T for which $v(T) > 350$ m/s.
Given Information: We are not given the initial speed of sound $v_0$ at $0$ degrees Celsius, but we can assume it to be a constant value. Since we are looking for the temperature at which the speed exceeds $350$ m/s, we set up the inequality: $\newline$ $v_0 + 0.6T > 350$
Setting Up Inequality: To solve for T, we need to isolate T on one side of the inequality. However, we do not have the value of $v_0$ , so we cannot solve for T directly. We need additional information about the initial speed of sound at $0$ degrees Celsius to proceed.
Isolating Variable: Since we cannot determine the value of $v_0$ from the given information, we cannot continue with the calculation. The problem seems to be missing the necessary information to solve for T. Without $v_0$ , we cannot find the exact temperature at which the speed of sound exceeds $350$ m/s.

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