The percent y (in decimal form) of battery power remaining x hours after you turn on a video game controller is y = -0.05x + 1. After how many hours is the battery power at 45%?
AAAaannndd the bot gets it wrong yet again!
1-.05*9 = 1-0.45 = .55
To find the number of hours after which the battery power is at 45%, we need to set the equation equal to 0.45 (the decimal form of 45%).
Given the equation: y = -0.05x + 1
Setting y equal to 0.45, we have:
0.45 = -0.05x + 1
Next, we can solve for x by isolating the variable x:
-0.05x = 0.45 - 1
-0.05x = -0.55
Now, we can divide both sides of the equation by -0.05 to solve for x:
x = (-0.55) / (-0.05)
Simplifying this expression, we get:
x = 11
Therefore, the battery power will be at 45% after 11 hours.
To find the number of hours it takes for the battery power to reach 45%, you need to solve the equation y = 0.45 for x.
The given equation y = -0.05x + 1 represents the relationship between the percent y (in decimal form) of battery power remaining and the number of hours x after turning on the video game controller.
- Here, y represents the battery power remaining as a decimal (0.45 for 45%).
- We want to find the value of x, the number of hours it takes for the battery power to reach 45%.
To solve for x, we substitute the value of y into the equation and solve for x:
0.45 = -0.05x + 1
Now, let's solve the equation:
-0.05x = 0.45 - 1
-0.05x = -0.55
To isolate x, we divide both sides of the equation by -0.05:
x = (-0.55) / (-0.05)
x = 11
Therefore, it takes 11 hours for the battery power to reach 45%.