$2\mathrm{.}102$ Adjusted Gross Incomes. The Internal Revenue Service

$($IRS$)$ publishes data on adjusted gross incomes in Statistics of

Income, Individual Income Tax Returns. The following relative$-$

frequency histogram shows one year's individual income tax returns

for adjusted gross incomes of less than $$50,000.$

Use the histogram and the fact that adjusted gross incomes are ex$-$

pressed to the nearest whole dollar to answer each of the following

questions.

a$.$ Approximately what percentage of the individual income tax re$-$

turns had an adjusted gross income between $$10,000$ and $$19,999,$

inclusive?

b$.$ Approximately what percentage had an adjusted gross income of

less than $$30,000?$

c$.$ The IRS reported that $89,928,000$ individual income tax returns

had an adjusted gross income of less than $$50,000.$ Approximately

how many had an adjusted gross income between $$30,000$ and

$$49,999,$ inclusive?

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