$3\mathrm{.}1$ Write a program to prompt the user for hours and rate per hour using input to compute gross pay. Pay the hourly rate for the hours up to $40$ and $1\mathrm{.}5$ times the hourly rate for all hours worked above $40$ hours. Use $45$ hours and a rate of $10\mathrm{.}50$ per hour to test the program $($the pay should be $498\mathrm{.}75).$ You should use input to read a string and float$()$ to convert the string to a number. Do not worry about error checking the user input $-$ assume the user types numbers properly.