Let’s solve each question step by step using the bar graph provided.
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Key:
-
Light gray bars = 2010 earnings
-
Dark gray bars = 2011 earnings
- Y-axis: Earnings in dollars (scale: 60,000 to 90,000+)
- Grid lines are every 5,000 dollars (since 60K → 70K → 80K → 90K)
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1) How much money did Peter earn in 2010?
Look at Peter’s
light gray bar (2010). It reaches halfway between 80,000 and 90,000 →
$85,000
✔ Answer: $85,000
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2) How much did April and Jenny earn in 2011 in total?
-
April’s 2011 (dark gray): Bar is at 70,000 →
$70,000
-
Jenny’s 2011 (dark gray): Bar is at 95,000 →
$95,000
Total = 70,000 + 95,000 =
$165,000
✔ Answer: $165,000
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3) How much did these 5 people earn in 2010 altogether?
Add up all
light gray bars (2010):
-
Peter: 85,000
-
John: 75,000 (halfway between 70K and 80K)
-
Maria: 90,000
-
April: 90,000
-
Jenny: 75,000
Total = 85,000 + 75,000 + 90,000 + 90,000 + 75,000
= (85 + 75 = 160) + (90 + 90 = 180) + 75
= 160 + 180 = 340 → +75 =
$415,000
✔ Answer: $415,000
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4) What was the average earning in 2011?
Add all
dark gray bars (2011):
-
Peter: 95,000
-
John: 75,000
-
Maria: 95,000
-
April: 70,000
-
Jenny: 95,000
Total = 95,000 + 75,000 + 95,000 + 70,000 + 95,000
= (95 + 95 + 95 = 285) + (75 + 70 = 145)
= 285 + 145 =
$430,000
Average = Total ÷ Number of people = 430,000 ÷ 5 =
$86,000
✔ Answer: $86,000
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5) Who got the biggest pay increase?
Calculate
increase = 2011 earnings - 2010 earnings for each person:
-
Peter: 95,000 - 85,000 =
+10,000
-
John: 75,000 - 75,000 =
+0
-
Maria: 95,000 - 90,000 =
+5,000
-
April: 70,000 - 90,000 =
-20,000 (decrease)
-
Jenny: 95,000 - 75,000 =
+20,000
→
Jenny has the largest increase:
$20,000
✔ Answer: Jenny
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6) How many percent was this increase?
This refers to
Jenny’s increase, since she had the biggest pay increase.
Formula:
> Percent Increase = (Increase ÷ Original Amount) × 100%
Jenny’s 2010 earnings = $75,000
Increase = $20,000
So:
(20,000 ÷ 75,000) × 100% = ?
→ 20,000 ÷ 75,000 = 20/75 = 4/15 ≈ 0.2667
→ 0.2667 × 100% ≈
26.67%
You can leave it as a fraction or decimal.
✔ Answer: 26.67% (or approximately 26⅔%)
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✔ Final Answers:
1)
$85,000
2)
$165,000
3)
$415,000
4)
$86,000
5)
Jenny
6)
26.67% (or 26⅔%)
Parent Tip: Review the logic above to help your child master the concept of bar graph worksheet 6th grade.
