Answer:
Explanation:
1,,,To determine which estimate has a lower percent error, we need to calculate the percent error for each estimate and compare them.
Percent error can be calculated using the formula:
percent error = [(actual value - estimated value) / actual value] x 100%
For the buttons estimate:
percent error = [(677 - 1000) / 1000] x 100% = -32.3%
For the large beads estimate:
percent error = [(22 - 50) / 50] x 100% = -56%
Since the percent error for the large beads estimate (-56%) is larger than the percent error for the buttons estimate (-32.3%), Elena's estimate about the buttons has less percent error.
To determine how much less, we can subtract the two percent errors:
percent error difference = (-56%) - (-32.3%) = -23.7%
Rounding to the nearest percent, Elena's estimate about the buttons has 24% less percent error than her estimate about the large beads. 2,,,w weekly salary after a 25% raise, we can multiply his current weekly salary by 1.25 (which represents a 125% increase, since 100% + 25% = 125%). So, the correct answers are:
D. Multiply 865 by 1.25.
E. Add 865 and 1/4 of 865.
The steps for each option are:
A. Divide 865 by 0.25: This will not give Kevin's new salary after the raise. Instead, it will give the amount of the raise itself (since 25% of 865 is $216.25). To find the new salary, we need to add the raise amount to his original salary.
B. Divide 865 by 1.25: This will also not give Kevin's new salary after the raise. Instead, it will give his salary before the raise (since 865 ÷ 1.25 = 692, which is 100% of his original salary). To find the new salary, we need to multiply his original salary by 1.25.
C. Multiply 865 by 0.25: This will also give the amount of the raise itself (since 25% of 865 is $216.25). To find the new salary, we need to add the raise amount to his original salary.
D. Multiply 865 by 1.25: This will give Kevin's new weekly salary after the 25% raise.
E. Add 865 and 1/4 of 865: This is equivalent to multiplying 865 by 1.25, so it will also give Kevin's new weekly salary after the 25% raise.
F. Add 865 and 1 1/4 of 865: This is not a correct way to calculate Kevin's new weekly salary after the raise, since 1 1/4 of 865 is not a valid percentage increase.