Question

select the correct answer from each drop - down menu.
lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies.
he models the cost, in dollars, of having phil’s appliances handle the repair job, requiring x hours of labor, with function p: ( p(x)=68x + 81 ).
he models the cost of having quality electric handle the same repair with function q: ( q(x)=51x + 90 ).
the function ( s(x)=17x - 9 ) represents the amount, in dollars, lionel will save by having quality electric handle an x - hour repair instead of phil’s appliances.
lionel will save $\underline{\quad}$ if he uses quality electric for a repair needing 2 hours of labor.
(there are also some interface elements like reset and next shown in the image.)

Explanation:

Step1: Find cost from Phil's (p(x))

For \( x = 2 \) (2 hours labor), use \( p(x)=68x + 81 \).
\( p(2)=68(2)+81 = 136 + 81 = 217 \).

Step2: Find cost from Quality (q(x))

For \( x = 2 \), use \( q(x)=51x + 90 \).
\( q(2)=51(2)+90 = 102 + 90 = 192 \).

Step3: Calculate savings (p - q)

Savings \( = p(2)-q(2)=217 - 192 = 25 \).

Answer:

25