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6. The number of hours it takes for ice to melt varies inversely with the air temperature. A block of ice melts in 2.5 hours when the temperature is 54 degrees. How long would it take for the same block of ice to melt if the temperature was 45 degrees?
7. Ride Service. It costs $35 for a ride from the city center to the airport, 14 miles away.
a. Write the equation that relates the cost, c, with the number of miles, m.
b. What would it cost to travel 22 miles with this service?

Respuesta :

The time it will take for the block of ice to melt if the temperature is 45 degrees is 3 hours.

The cost to travel 22 miles is 55 dollars.

How to find how long for the ice to melt?

let

time it takes for ice to melt = x

air temperature = y

Therefore,

x ∝ 1 / y

x  = k / y

when x = 2.5 hours and y = 54 degrees

Hence,

k = 2.5 × 54

k = 135

The time it will take for the block to melt at 45 degrees = 135 / 45 = 3 hours

How to find equation that relates the cost to the number of miles?

It costs $35 for a ride from the city centre to the airport, 14 miles away.

where

c = cost

m = number of miles

Therefore, the equation is as follows:

35 / 14 = 2.5

c = 2.5m

Hence, when you travel 22 miles,

c = 22(2.5)

c = 55 dollars

learn more on equation here: https://brainly.com/question/22737982

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