You should answer this question WITHOUT using a CALCULATOR. Write an equation ln⁡y=mx+b form for the linear relationship shown in the table. Reading a Book. t amount of time reading (hrs.)P number of pages left to read04200.254051.53303240660 DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs. For example DO NOT enter y=2x+1 DO ENTER: y=2x+1 Put parentheses around constants that are fractions like this: y=(23)x−(12) You may use decimals if the decimal values are exact. (You cannot use 0.33 for 13 because it is not exact, but you can use 0.25 for 14) To write your equation, use the variables: t= amount of time spent reading (hours) P(t)= number of pages left to read. The equation ln⁡y=mx+b form is _________.

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Step 1 Let the equation be c(t)=mt+b From the table t=0,c(t)=15 ∴c(t)=mt+b t=0 c(0)=m(0)+b 15=b b=15 at t=1,c(t)=40 c(t)=mt+15(∴b=15) t=1 c(1)=m(1)+15 40=m+15 m=40−15=25 m=25 Equation is c(t)=25t+15 Step 2 Let the equation be P(t)=mt+b From the table at t=0,P(t)=420 ∴P(t)=mt+b t=0 P(0)=m(0)+b 420=b of b=420 At t=0.25,p(t)=405 P(t)=mt+420(∴b=420) t=0.25 P(0.25)=m(0.25)+420 405=m(0.25)+420   m(0.25)=−15 m=−150.25=−60 Equation is P(t)=−60t+420.

You should answer this question WITHOUT using a CALCULATOR.Write an equatio

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