Question

the equation for the line of best fit is y = -\frac{6}{5}x + 38. according to the equation, which of these statements is true? a dog that has been training for 10 months would likely have a race time of about 50 seconds. a dog that just started training would likely have a race time of about 38 seconds.

Explanation:

Step1: Identify the variable meaning

$x$ is months of training, $y$ is race - time.

Step2: Analyze the case of start - training

When a dog just starts training, $x = 0$.

Step3: Substitute $x = 0$ into the equation

Substitute $x = 0$ into $y=-\frac{6}{5}x + 38$. We get $y=-\frac{6}{5}\times0 + 38=38$.

Step4: Analyze the case of 10 - month training

When $x = 10$, $y=-\frac{6}{5}\times10+38=-12 + 38 = 26$, not 50. So the correct statement is that a dog that just started training would likely have a race time of about 38 seconds.

Answer:

A dog that just started training would likely have a race time of about 38 seconds.