The flexural stresses and the initial moduli for a series of fatigue tests on HMA specimens are shown in Table $1.$ Choose the nearest E$0$ and the dynamic modulus for a frequency of $8$ Hz by Eq$.7\mathrm{.}15($textbook$).$

Table $1$

$\backslash$table$[[$Test No$.,1,2,3,4,5,6,7,8,9],[\backslash$table$[[$Stress $($psi$)],[$Initial stiffness$]],278,254,228,197,185,165,137,115,91],[$modulus $({10}^5$ psi$),1\mathrm{.}00,1\mathrm{.}14,1\mathrm{.}15,1\mathrm{.}34,1\mathrm{.}60,2\mathrm{.}87,2\mathrm{.}22,2\mathrm{.}78,3\mathrm{.}15]]$

$E0=5\mathrm{.}5E5$ psi; Dynamic Modulus $=8\mathrm{.}0E4$ psi

$E0=5\mathrm{.}9E5$; Dynamic Modulus $=7\mathrm{.}9E5$

$EO=4\mathrm{.}5E6$; Dynamic Modulus $=6\mathrm{.}4E5$

$EO=5\mathrm{.}5E5$; Dynamic Modulus $=8\mathrm{.}0E7$ psi

$E0=5\mathrm{.}5E4$ psi; Dynamic Modulus $=7\mathrm{.}8E5$ psi

$E0=4\mathrm{.}5E5$ psi; Dynamic Modulus $=9\mathrm{.}5E5$ psi