Answer:
Step-by-step explanation:
<span>y = 3x - 7
3 = slope
-7 = y intercept
This line would cross the y intercept at -7, and go up by 3 (slope). </span>
Answer: Intercept of the equation = (9,0)
Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
Step-by-step explanation:
Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .
To find the x-intercept, put B =0 (as x denoted the independent variable , here independent variable is 't')
Hence, the x-intercept of the equation = (9,0)
i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
To find the circumference of a circle you have to multiple the radius by 2 and also by pi. So, to find the radius when given just the circumference, who have to do the reverse operation and divide the circumference by 2 and also by pi to get the answer of 22.92993631, which you could of course round.
So for this, you'll be using an exponential equation, which is y=ab^x (a = initial value, b = growth/decay).
Since you start off paying your friend $1, that will be your initial value. And since this is a 50% increase, you are to add 1 and 0.5 together (50% in decimal form), which is 1.5. That will be your b variable. And since # of days is the independent variable, that will be your x variable.
Using the previous info, this is our equation: y = 1(1.5)^20 . From here we can solve for the total cost (y).
Firstly, solve 1.5^20: y = 1(3325.26)
Next, multiply everything on the right side of the equation, and your answer will be (rounded to the hundreths): y = 3325.26
In context, at the end of the 20 days, you have to pay your friend $3325.26.
