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T=235+980 d
The torque,
T, in newton-meters, on a diving board with a 100 kilogram weight placed
d meters from the diving board's fulcrum is given by the equation. How much torque in newton-meters is on the diving board when the weight is placed at the fulcrum?

$T=235+980 d$ $\newline$ The torque, $T$ , in newton-meters, on a diving board with a $100$ kilogram weight placed $d$ meters from the diving board's fulcrum is given by the equation. How much torque in newton-meters is on the diving board when the weight is placed at the fulcrum?

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Write exponential functions: word problems

Full solution

Q.

T=235+980 d

\newline

The torque,

T

, in newton-meters, on a diving board with a

100

kilogram weight placed

d

meters from the diving board's fulcrum is given by the equation. How much torque in newton-meters is on the diving board when the weight is placed at the fulcrum?

Identify Equation and Variables: Identify the given equation and the variables. $\newline$ The given equation is $T = 235 + 980d$ , where $T$ is the torque in newton-meters and $d$ is the distance in meters from the diving board's fulcrum.
Determine Value of $d$ : Determine the value of $d$ when the weight is placed at the fulcrum. $\newline$ When the weight is placed at the fulcrum, the distance $d$ is $0$ meters.
Substitute Value of $d$ : Substitute the value of $d$ into the equation to find the torque. $\newline$ Substitute $d = 0$ into the equation $T = 235 + 980d$ . $\newline$ $T = 235 + 980(0)$ $\newline$ $T = 235 + 0$ $\newline$ $T = 235$

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