The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

17 seconds

Step-by-step explanation:

Here's the complete question:

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

First, we find the constant of proportionality which will be:

y = kx

where y = Distance; x = time

264 = 11k

k = 264/11

k = 24

The time in seconds the toy robot moves when the total distance is 408 centimeters will be:

y = kx

408 = 24x

x = 408/24

x = 17

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