Question

In speech class, Carolyn needs at least a B + to keep her financial aid. To earn a B+, the average of her four speeches must be at least an 85. On the first 3 she scored 85, 77, and 81. Determine the minimum score speech to get a B+.​

Answer 1

The minimum score speech to get a B+ is 89.

Explanation:

Average of the first 3 = 85 + 77 + 81 / 3

= 243 / 3

= 81

The fourth score ( to get 85 ) = 81 + 89

= 170 / 2

= 85

Answer 2

97

Explanation:

Relative to the average she wants, Carolyn's scores are ...

85-85 = 0

77-85 = -8

81-85 = -4

Carolyn's score total is -8-4 = -12 points from the average she wants, so she must get 85+12 = 97 on her speech to achieve a B+ average.

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Check

With a 97, Carolyn's average would be ...

(85 +77 +81 +97)/4 = 340/4 = 85