Problem

3. To surf the internet for 15 minutes at an airport, it costs $4.05. For 40 minutes, it costs $5.80. Write and solve a linear equation to find the cost for surfing the web for one hour.
14. Water boils at 100 Celsius or 212 Fahrenheit. Water freezes at 0 Celsius or 32 Fahrenheit. If the weather forecaster says it will be 25 Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answer

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Answer

f=77

Steps

Step 1 :Let's denote the cost for surfing the internet for x minutes as C(x).

Step 2 :We know that C(15)=$4.05 and C(40)=$5.80.

Step 3 :We can write the equation of the line passing through the points (15,4.05) and (40,5.80).

Step 4 :The slope of the line is 5.804.054015=1.7525=$0.07 per minute.

Step 5 :So, the equation of the line is C(x)=0.07x+b.

Step 6 :To find b, we can substitute one of the points into the equation. Let's use (15,4.05):

Step 7 :4.05=0.0715+b,

Step 8 :b=4.050.0715=$2.95.

Step 9 :So, the cost for surfing the internet for x minutes is C(x)=0.07x+2.95.

Step 10 :To find the cost for surfing the web for one hour (or 60 minutes), we substitute x=60 into the equation:

Step 11 :C(60)=0.0760+2.95

Step 12 :C(60)=$7.15

Step 13 :We know that f=32+1.8c.

Step 14 :To find the Fahrenheit temperature when it is 25 Celsius, we substitute c=25 into the equation:

Step 15 :f=32+1.8c

Step 16 :f=32+1.8(25)

Step 17 :f=77

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