$15$ Points $1.$

If a $1200ft.$ vertical curve joins two grades for which $g1=+2\mathrm{.}60\%$ and $g2=-4\mathrm{.}50\%$ what is the rate of change, $r?$

a$)-0\mathrm{.}00592$

b$)0\mathrm{.}158$

c$)-0\mathrm{.}592$

d$)0\mathrm{.}592$

If the VPI station is $36+50$ and the VPI elevation is $144\mathrm{.}56$ on a $500ft$ vertical curve joining $g1=-3\mathrm{.}5$ and $g2=+2\mathrm{.}75,$ what is the BVC station and elevation?

a$)31+50,162\mathrm{.}06ft$

b$)34+00,162\mathrm{.}06ft$

c$)34+00,153\mathrm{.}31ft$

d$)31+50155\mathrm{.}25$

If the BVC station is $12+50$ on a $400ft$ vertical curve joining a $g1=+2\mathrm{.}5$ and a $g2=-3\mathrm{.}0,$ what is the station of the high point?

a$)14+31\mathrm{.}82$

b$)1\mathrm{.}5133$

c$)14+50$

d$)15+75\mathrm{.}25$