Faith will start a job at a local store. She was offered a job where for every week she works, she will earn $120 , plus a one-time starting bonus of $80 She modeled her offered earnings with the linear function E(w)=120w+80 , where E(w) represents the total amount paid and w the number of weeks worked. If the contract changes when she shows up for work and her new salary is $130 a week, how will the graph of the new function K(w) compare to the function E(w) ?
Answer
A
cap k times w will have a less steep slope than cap e times w
B
cap k times w will have a steeper slope than cap e times w
C
cap k times w will have a lower y -intercept than cap e times w
D
cap k times w will have a higher y -intercept than cap e times w
Explanation
In E(w) = 120w + 80, the slope is 120, meaning Faith earns $120 for each week worked. With the new weekly salary of $130, the new function has a slope of 130, which is greater than 120. Therefore, K(w) has a steeper slope than E(w), so the correct choice is B.
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