Connect Problem CP $23-08($algo$)$

Layla earns wages of $$30,000$ per year. She qualifies for about $$10,000$ in housing credits, which raises her overall income to $$40,000.$ Housing credits are withdrawn for anyone earning more than $$35,000$ per year.

Instructions: Enter your answers as a whole number.

a$.$ If Layla earns an extra $$7,500$ per year, by how much will her overall income change?

Her overall income will $|$by $ $.$

b$.$ Now suppose instead that housing credits are withdrawn gradually at a rate of $$500$ for each $$1,000$ that someone is earning above the wage limit of $$35,500$ per year. Assuming Layla earns an extra $$7,500$ per year above her original wage of $$30,000$ per year, how large will her housing credit be$?$

$ $$

c$.$ Based on the housing benefit plan decribed in part $b,$ where housing credits are withdrawn gradually, Layla's overall income will be

$$ when she earns an extra $$7,500$ per year in wages.

$$ lower

$$ the same

higher