Download Answers Key for Quiz 1 - Survey of Calculus | MATH 160 and more Quizzes Calculus in PDF only on Docsity! Allen - Math 160 A Quiz #1 ~ e.", 1. Write a linear cost function, C(x), given that the variable costs are $147.75 per unit and the fixed costs are $2700. (J.x) ~ lVl\VI"i?\~ lv') t':,) ''X + lh{~~ lv~ h) ~ [L¥.) -= 1~1, 15 'I, -+- 270iJ 2. Suppose a line contains the points (3,2), and (-1, -2). Write an equation of the line in point-slope form if possible and graph. M~ :l"'?" -i ~~ ~ :1 -L{ _ / - ~ ! ~ ! ' ! ! ! !! ! t ! ! : ! ! ! ! ! :::::::::r:::I:J::1:::~~!:: ~:::I:~:::::::J::!::r:r~' ..~-~._~_.~._; _.~- ~._~..~._;_. .~--~_.~ ._~ _.~ .~_. ~._+._' .!--. _.~ ...!-_.!- ..f..•!_.~. -!._~•. ~.-!-. .-!._~_.~ .• ~ •. ~ ·~--t •. '-~ •.!•. - I , I , I , t , I I "I I 4 I ~ I t _. ~~.~-r·'· '''-;-*i-'·-'·- i·-;-- ·7 ...·.·-. ·-i-'-·- -,,"-r--..·· y-~-:: l l)(-3J ~ ~-7.-:J(-1 .~. -i-.i. -!- -.~.~&- ~-.i ._~ •.~~. ::f:i:~:I:E:Ej::f~F:!:: :i:E:!::~::::t:!::E~::F: .~ ...... t-·~ .-.-.~-"'._~_."·-i.- "..i -~ _.~."'-- ••.i---~ •." .. •. ~_~._J_. ~._;_.~.~._~•. ~._;_ .. ~ __ • ' .. _~ __ ~.~ .• ~_. +__ ~ _.~ .. -e) ['1 ~ X~ \J L•.~_.1 .._t•. ,.1.& ~._~_.L ..~ .. ~ .~ .. , , , I I I I I' I' I' , , , , I' ·-r--i·-'j. -1··t-·r--i--'·:· -; ...... -1-·t·-~-·t"1·-j-·t·-'-·j-· .-;. ...;,.;•.,,- .,--;,.';'.~ 'T'-'-- .-t- ·l-·;'·-j.··jo·';··,·_j --;. •. j- •• ~ .....t-.~ -i-';" ' ·1--1-··i·· -..··t-·~··;.··j.· ..·-t-·t··t-·t-· ••~ ...i.• -I•• ~ ••~_. ..i.-"-~._ l._~_ _;_.~ ..l_.i- . ..~.~..~ ..~-; .~.~._~..~._~- ..~-.~_.~._~ ··~·~·_~--t-·~_·:-· ..~ ~ b-!~_.'.~ -to-, ~~ ..!--~ •. ~.-l- ~ ... -!..- t-.~- ..!._.t. ..!._~_ •.1-._~ •.!. ~ _!.....!. - I ~~ ~_~_ .. ~ .. ..!•• !...l._!.... .~..,_.~_ ..~._~_.!. ..!.._!_..~ ._~_.!.. _~~. t ~_.~ __ ~_~~rJ._~.~~._~_. ~~._!_.l~.~_ .. ~ .. J._~._~l __~_.L.~ ,! • I ~ ~ ! ! ! ~! !!!! ~ ! ! ! !I 3. Determine the coordinates of the vertex of f(x) = x 2 - 4x + 2 algebraically. ±. ~ L-'{) \.f x~ 201 '::' 2.l0 -= z:- =- z.. t -4 IVc,v \-e,1.. " ~ l1; :: l - ~ ll,) +1 -::- y~~ +L ~ -'2~~ 4. The total payments (passenger fares and expenditures abroad) by U.S. travelers to foreign countries can be modeled by f(x) = 2.78x + 33.81 l::;x~9 where x represents the number of years since 1986 and f(x) represents the total payments, in billions of dollars, by U.S. travelers to foreign countries. Use the model to determine the year the total payments by U.S. travelers was about 53.27 billion dollars. ~\V\vw : fl~}-= 51,21 ht~~ tu ~1~lr· X 5~\~1~ 211~'X i-33.~1 =' I',~ Ie -::. 2, 1~ 'X -=-J 7-:: ~ , ~eIAV\' lJ~~+1 ~ ~ 11~ ..-----. rht 1u~~\ Y'~~V'I\~v\h ~~ UIS, +v~v~\ty!:. ! 7 1 \rJ~ ~ ~~\)V\~, S3IZ1h\~