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Question
while studying to be a vet, brad learns that different animals have different heart rates. this table shows the resting heart rate of a small dog: small dog time (minutes) heartbeats 3 300 4 400 5 500 this equation describes the resting heart rate of a typical cat, where y represents the number of heartbeats and x represents the number of minutes: y = 150x which animal has a slower heart rate? a cat a small dog how much slower is its heart rate? beats per minute slower submit
Step1: Find the dog's heart rate formula
The dog's heartbeats and time are given. Using the first row (3 minutes, 300 heartbeats), the rate \( r_{dog} = \frac{y}{x} = \frac{300}{3} = 100 \) beats per minute. So the dog's equation is \( y = 100x \).
Step2: Compare the cat's and dog's rates
The cat's rate from \( y = 150x \) is 150 beats per minute. The dog's rate is 100 beats per minute. So the dog is slower.
Step3: Calculate the difference
Subtract the dog's rate from the cat's rate: \( 150 - 100 = 50 \).
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