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Answer :
Final answer:
The linear equation that represents Geoff mowing a lawn at a constant rate is y = 15x, where y is the total square footage mowed and x is the time in minutes.
Explanation:
The student asks for a linear equation to represent the rate at which Geoff mows a lawn. Geoff can mow an entire lawn of 450 square feet in 30 minutes. To find the rate, we consider that the rate (r) is the amount of lawn mowed over time. Geoff's rate is therefore 450 square feet divided by 30 minutes, which simplifies to 15 square feet per minute. The linear equation representing this constant rate of work is y = 15x, where y represents the total square footage mowed and x represents the time in minutes.
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