Final answer:
The equation 0.11(x + $335) = $68.45 can be represented by the scenario where Steven paid $335 for a new treadmill and x dollars for a stationary bike. He then buys a warranty for $68.45, which is 11% of the total cost.
Step-by-step explanation:
The equation 0.11(x + $335) = $68.45 can be represented by the scenario where Steven paid $335 for a new treadmill and x dollars for a stationary bike. He then buys a warranty for $68.45, which is 11% of the total cost.
To check if the equation represents this scenario, let's substitute the values from Steven's scenario into the equation:
0.11(x + $335) = $68.45
0.11(x + 335) = 68.45
0.11x + 36.85 = 68.45
0.11x = 31.6
x = 31.6 / 0.11
x ≈ $286.36
So, the equation correctly represents the scenario where Steven paid $335 for a new treadmill and approximately $286.36 for a stationary bike, and then buys a warranty for $68.45, which is 11% of the total cost.