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5.5.ip-18 lisa made a table to show the different plans she can use to …

Question

5.5.ip-18
lisa made a table to show the different plans she can use to earn $340. complete the table. which plan can lisa use to earn $340 in fewer than 11 weeks and have exactly $20 extra? explain how you found your answer.
click the icon to view the different plans.
explain how to find the answer.
a. subtract the amount to earn each week from 340.
b. multiply 340 by the amount to earn each week.
c. divide the amount to earn each week by 340.
d. divide 340 by the amount to earn each week.
e. subtract 340 from the amount to earn each week.
plans for earning
plans for earning $340

planamount to earn each weeknumber of weeks needed to make goal
b$30
c$40
d$50

Explanation:

Step1: Choose correct calculation method

To find the number of weeks needed to earn $340, we divide the total target amount by the weekly earnings. This matches option D.

Step2: Calculate weeks for Plan B

Divide total by weekly earnings:
$\frac{340}{30} \approx 11.33$

Step3: Calculate weeks for Plan C

Divide total by weekly earnings:
$\frac{340}{40} = 8.5$

Step4: Calculate weeks for Plan D

Divide total by weekly earnings:
$\frac{340}{50} = 6.8$

Step5: Check extra earnings for valid plans

For plans with <11 weeks (C, D):

  • Plan C: Total earned = $40 \times 9 = 360$, extra = $360 - 340 = 20$
  • Plan D: Total earned = $50 \times 7 = 350$, extra = $350 - 340 = 10$

Answer:

First, complete the table:

PlanAmount to Earn Each WeekNumber of Weeks Needed to Make Goal
B$30$\approx 11.33$
C$408.5
D$506.8

The correct method to find weeks is D. Divide 340 by the amount to earn each week.

The plan Lisa can use is Plan C: it takes 8.5 weeks (fewer than 11), and if she works 9 full weeks, she earns $360, which is exactly $20 extra over her $340 goal.