A cellular phone company offers offers a contract for which the cost C,in dollars, of T minutes of telephoning is given by C=0.25(T-300)+55.95,where it is assumed that T=300 Minutes. What times will keep cost between 105.70 and 118.95?

Question

A cellular phone company offers offers a contract for which the cost C,in dollars, of T minutes of telephoning is given by C=0.25(T-300)+55.95,where it is assumed that T>=300 Minutes. What times will keep cost between 105.70 and 118.95?

anonymous · Answer

just plug in your desired cost ranges for C and solve for T, the math is very straight forward

anonymous · Answer

really?

anonymous · Answer

that is like a construction worker coming up to me during a remodel and trying to say that building a house is easy

anonymous · Answer

I am bad with math, especially word problems

anonymous · Answer

ok , ill walk you through this, first we plug in 105.70 for C, so we have the equation

 105.7=.25*(T-300)+55.95

subtract the 55.95 from both sides to get 

49.75=.25*(T-300)

divide by .25 to get T by itself

199=T-300

finally, add 300 to both sides

499=T

the second solution is solved identically

anonymous · Answer

can you tell me if I am right...

between 499 and 552 minutes

anonymous · Answer

if you still need help with the second answer, plug in 118.95 for C and solve just like i did above, so

118.95=.25*(T-300)+55.95

63=.25(T-300)

252=T-300

552=T

so your range of times is between 499<=T<= 552 minutes of talk time on the phone to maintain the price range

anonymous · Answer

SO i WAS RIGHT?

anonymous · Answer

yup! ^^