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The number (b) of bolts a machine can make varies directly as the time (t) it operates. It can make 6000 bolts in 2 hours. How many can it make in 5 hours?
Since the number of bolts ( b ) varies directly as the time ( t ), we can set up the relationship as ( b = kt ), where ( k ) is the constant of proportionality. Given that the machine makes 6000 bolts in 2 hours, we can find ( k ) as follows: ( k = \frac{6000}{2} = 3000 ). Therefore, in 5 hours, the machine can make ( b = 3000 \times 5 = 15000 ) bolts.
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