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balu736 [363]
3 years ago
14

A water park charges a rental fee plus $1.50 per hour to rent inflatable rafts. The total cost to rent a raft for 6 hours is $15

. Assume the relationship is linear. Find and interpret the rate of change and the initial value.
Mathematics
2 answers:
zaharov [31]3 years ago
6 0
6*1.50= 9

We know the initial fee is 6 dollars. The rate of change is 1.50, since it changes that much in one hour.

If you need more help with this, message me, and I will be sure to help you!

Thanks!
ankoles [38]3 years ago
3 0

Answer: The rate of change is 1.50 and the initial value would be $6.

Step-by-step explanation:

Let x be the number of hours.

Let y be the rental fee.

Cost  per hour = $1.50

According to question,

1.5x+y

here, number of hours = 6

Total cost = $15

So, it becomes,

15=1.5\times 6+y\\\\15=9+y\\\\15-9=y\\\\\$\ 6=y

Since the relationship is linear.

So, if we compare it with y=mx+c

here, m is the rate of change.

So, m = 1.50

Hence, the rate of change is 1.50 and the initial value would be $6.

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Dahasolnce [82]

Answer:

y = -1/4x - 2

Step-by-step explanation:

I'm going to write this equation in slope intercept form, which looks like this: y = mx + b. First, write the equation using the slope given. It should look like this:

y = -1/4x + b

Next, you must find the y intercept by plugging in the point to the equation. This is what it looks like: 0 = -1/4(-8) + b. Multiply -1/4 by -8 to get 2. This is what your equation should look like now: 0 = 2 + b. Subtract 2 from both sides of the equation to get -2 = b. Go back to your original equation and plug -2 in for b. This is your final equation:

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See attachment

Required

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