c. Use the equationto determinethe distancethe train has traveledafter 3 hours.
- You decideto start a smallbusinessmakingpictureframes.You spend$100on paintand othersupplies,
as well as $2.00per woodenframe.You decideto sell eachframefor $10.00.
a. Write a linearfunctionthat modelsthe costsof your business
b. Write a linearfunctionthat modelsthe revenueof your business.(Revenueis the amountof moneyyou
take in.)
c. Write a linearfunctionthat modelsthe profitsof your business.(Theprofitscan be foundby subtracting
the costsfrom the revenue.)
d. Use your profitfunctionto determinethe minimumnumberof framesthat mustbe sold to makea profit.
- Considerthe functiondefinedby the equationf(x) =x
2- x- 3.
a. To whatfamilydoesthis functionbelong?
b. Statethe domainand rangeof the function.
c. Use a graphingcalculatorto graphthe function,to identifythe approximatecoordinatesof the vertex,and
the approximatevaluesof the x-intercepts.
- Considerthe function
a. Use a graphingcalculatorto graphthe function.
b. Identifyall asymptotes.
- The priceof reservinga privatepartyroomin a restaurantis $500.The priceper personvariesinversely
with the numberof peoplewho attendthe party.
a. Write an equationthat representsthe relationshipbetweenc, the cost per person,andpthe numberof
peopleattending.
b. Use the equationto find the cost per personif 32 peopleattend.
- Use a graphingcalculatorto graphthe functionsy=x^3 +x,y=x^3 + 2x,y=x^3 - x, andy=x^3 - 2x. What
is the effect of changingthe coefficienton the secondterm? - The equationp(x) = -.5x
2- 90x- 200 representsthe profitsof a company, wherexis the numberof units
the companysells.Use a graphingcalculatorto graphthe function,and use the graphto answerthe questions.
- 90x- 200 representsthe profitsof a company, wherexis the numberof units
a. Whatis the maximumprofit,and how manyunitsmustbe sold to reachthe maximumprofit?
b. Find the x-interceptsand explainthe meaningof thesepointson the graphin termsof the profitsof the
company.
- The tablebelowshowsthe averagedaylighthourseachmonthin Anchorage,Alaska.
a. Use your graphingcalculatorto plot the data,or graphby hand.Use January= 1.b. Whatis the periodof the data?c. How mightthe graphlook differentif the data representeddaylighthourswhereyou live?