88. A garage charges a fixed amount,plus an hourly rate to service a car. Use th

Question

88.     A garage charges a fixed amount,plus an hourly rate to service a car.

Use the information in the table to find the hourly rate.

                  Typical charges

                  2 hours         $143

82.     The temperature in degrees Celsiusthat is equivalent to a temperature in

          degreesFahrenheit is given by the function C(F) =5/9 F –160/9.

Find the Celsius temperature that is equivalent to 14°F.

84.     A lawn mower cost $450 when new andis expected to last 10 years.

What will it be worth in 6 ½ years ?

Explanation / Answer

88) you can set up a linear relationship between the total cost yand the number of hours x y=ax+b where a is the hourly rate and b is the fixed rate plugging in our known values we can sovle for a and b 143=2a+b 320=5a+b solve this system of equations to find a and b a=59 b=25 82) so we know that C=(5/9)F-(160/9) we simply plug in our value ofdegrees F to find the degrees C C = -10 84) we can set up a linear relationship between cost andyears    at year 0 it is worth 450    at year 10 it is worth 0 so the slope of our linear relationship is (-450/10) or -45 our y intercept of the graph is when x (years) is 0 so our value is450 so y=450-45x is our linear relationship plugging in 6.5 for x gives us our answer $157.5

Related Questions

Navigate

• Browse (All)
• Browse 8
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.