Which step would be used to isolate the variable in the equation?

t3=2.78

(1 point)
Responses

Divide both sides of the equation by 3.
Divide both sides of the equation by 3.

Subtract 3 from both sides of the equation.
Subtract 3 from both sides of the equation.

Multiply just the left side of the equation by 3.
Multiply just the left side of the equation by 3.

Multiply both sides of the equation by 3.

1 answer

To isolate the variable \( t \) in the equation \( t^3 = 2.78 \), you would need to take the cube root of both sides. However, from the given options, none of them directly addresses that step.

If we were to consider the correct operation for isolating \( t \) in the equation, it would involve taking the cube root rather than dividing or multiplying by 3.

From the options provided, though, if we strictly look for a relevant operation (although not specifically isolating the variable correctly), the best response regarding manipulating the equation (even if it's not mathematically correct for isolating \( t \)) is:

Divide both sides of the equation by 3.

This is not the final step to isolate \( t \), but it is a step in manipulating the equation. However, the key correct operation to completely isolate \( t \) is taking the cube root of both sides, which is not listed as an option.

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