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Lera25 [3.4K]
4 years ago
10

Latifah makes $12 per hour. She works 18 hours per week. She calculates that in 4 weeks, she will earn $864. If her hourly rate

and weekly hours are rounded to the nearest ten, which amount represents an estimate of the amount she will make over 4 weeks? Is her original calculation reasonable?
Mathematics
2 answers:
Dvinal [7]4 years ago
7 0
Here is the steps to figure it out with the answer: 
she makes $216 per week. If her hourly rate and weekly hours are rounded to the nearest tenth then it would make her weekly pay $200. Her hourly pay is now $10 and her weekly hours are 20. Now multiply the 20 (weekly hours) by 4 (which would be 4 weeks) 20x4= 80. So 80 hours in 4 weeks. Now her hourly pay is $12 rounded to the nearest tenth = $10 per hour. SOOO the $10 multiplied with the 80= $800 in 4 weeks. <span />
Darya [45]4 years ago
4 0

Answer and step-by-step explanation:

Rounding her hourly rate to the nearest ten, we get $10.  

Rounding her number of hours to the nearest ten, we get 20.

This gives us an estimate of 10(20)(4) = $800

Her original calculation is reasonable; it is higher because the actual hourly rate is larger than the estimate, so her amount of pay should be higher than the estimate.

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Step-by-step explanation:

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a(d) = 5d - 3

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a(d) = 5d - 3

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y = 5d - 3

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d = 5y - 3

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Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

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a(a'(d)) = a'(a(d)) = d

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Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

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