A small cleaning service has the following details: - The cost to clean each house is $⁢5.00 - The fixed costs are $⁢30.00 - The total expense function is given by E⁡(q)=30+5⁢q , where q is the number of houses cleaned and E⁡(q) is the total expense. Given the expense function E⁡(q)=30+5⁢q , which graph correctly represents the relationship between the number of houses cleaned q and the total expenses E⁡(q) ?

The function E(q) = 30 + 5q has a starting expense of $30 when q = 0 and increases by $5 for each house cleaned. For example, at q = 3, E(3) = $45, and at q = 10, E(10) = $80. Choice C starts at $30 but its listed points do not follow the function; choice D includes (0, 30) and (10, 80), but its other points do not. Therefore none of the described graphs exactly represents the function.

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