Question

Tonia contributes 5% of her paycheck to her 401(k) plan in order to save for her retirement, and she pays state income tax at a rate of 5% on the rest of her paycheck. If p represents Tonia's paycheck and t represents the amount she pays in state income tax, which of these equations represents this Situation? А t = 0.0025p t = 0.025p С 1 = 0.0475p D 1 = 0.475p​

Answer 1

t = 0.0475p

Explanation:

If

p = paycheck ; t = amount paid in state income tax

Amount contributed towards retirement :

5% of p ; 0.05p

Amount left :

Paycheck - contribution

p - 0.05p = 0.95p

Amount paid in state income tax :

5% of amount left

5% of 0.95p

5/100 * 0.95p

0.05 * 0.95p

= 0.0475p

Hence, state income tax, t = 0.0475p