Answer:
1. a) $ 25
b) $65
2) a) 246,000 followers
b) In 20 years
3a) $65
b) $85.25
Step-by-step explanation:
1. A linear equation is modeled by
where b is the one time fee you pay and m=$8 is how much you pay per hour.
y is the total cost and x is the number of hours.
Hence the equation becomes:
Since Jill rented for 3 hours and paid $49, x=3 and y=49.
We substitute and solve for the one-time fee, b.
This implies that:
49=24+b
b=49-24=25.
a) The fee is $25
b) We now write the equation in full to get:
To find the cost for 5 hours we put x=5 into this equation and solve for y.
y=40+25=$65
2a) We still use the equation y=mx+b.
b is the number of followers he started with.
This time m=-12,000 because he is losing followers at the rate of 12,000
The equation becomes: y=-12,000x+b
After 4 years he was down to 198,000.
This implies that, when x=4,y=198,000
We substitute to get:
Hence he started with 246,000 customers
b) The equation now becomes
To find how many years he will have 6000 followers, we substitute y=6000 and solve for x.
x=20.
3. We still use the equation: y=mx+b.
This time m=0.25 is the rate per mile.
This implies y=0.25x+b
Since Kyle drove 32 miles and spent $73, we have y=73 when x=32
We substitute these values and solve for x.
Hence the one-time fee is $65
b) The equation now becomes:
To find how much it will cost to drive 81 miles, we substitute x=81 and solve for y.
The cost for 81 miles is $85.25