Question

Asher sat on the beach while the tide went out. Every minute, the tide went out 2
2/3 feet. He watched the tide go out for 41/2 minutes.a. Which value in this situation could be represented by a negative number? ____ Why?b. Write a multiplication expression to determine the rational number that represents the total change in the tide after 4 1/2 minutes.
c. Find the value of your expression from part b.

Answer 1

a) $2\frac{2}{3}$  value in this situation could be represented by a negative number.

b) Multiplication expression is   $\frac{8}{3}$ ×$\frac{9}{2}$ × (-1)

c) The value is -12 feet.

Every minute, the tide went out 2$\frac{2}{3}$ feet.  Asher watched the tide go out for 4$\frac{1}{2}$ minutes.

If we draw a number line, the flood tide represents the positive direction of the number line, and the went-out tide represents the negative direction of the number line.

a) $2\frac{2}{3}$ values in this situation could be represented by a negative number because the went-out tide represents the negative direction of the number line.

b) Multiplication expression  that represents the total change in the tide after 4$\frac{1}{2}$ minutes  

     =  $2\frac{2}{3}$ × $4\frac{1}{2}$ × (-1)

     =$\frac{8}{3}$ × $\frac{9}{2}$ × (-1)

c) The value is = 2$\frac{2}{3}$ ×$4\frac{1}{2}$ × (-1)

                       = $\frac{8}{3}$ ×  $\frac{9}{2}$  × (-1)

                       = - $\frac{72}{6}$  = -12 feet

Read more about the number line: https://brainly.com/question/24644930

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