Question

HELP ME QUICK To get to the dance competition finals, a dancer must average at least 8.5 points on their 4 preliminary dances. The scores for Jodi’s first 3 dances were: 8.9 points, 7.1 points and 9.2 points.

What is the lowest score that Jodi can get on the last dance and still make the finals?

Show all your work AND justify your steps. You will not receive credit unless you justify the steps. Make sure to answer the question. Note: Judges scores range from 0 to 10 and include the tenths place (like 7.5).

Answer 1

Answer:

$x = 8.8$

Step-by-step explanation:

Given

$Average = 8.5$

$Scores= 8.9, 7.1, 9.2$

Required

Determine the least score in the 4th dance

Represent the 4th score using x

Average is calculated as follows:

$Average = \frac{\sum x}{n}$

This gives:

$8.5 = \frac{8.9 + 7.1 + 9.2 + x}{4}$

$8.5 = \frac{25.2 + x}{4}$

Multiply through by 4

$4 * 8.5 = 25.2 + x$

$34= 25.2 + x$

$x = 34 - 25.2$

$x = 8.8$

Hence, the least score in the 4th dance is 8.8