Clare said that (4/3) ÷ (5/2) is (10/3). she reasoned: (4/3) ⋅ 5 = (20/3) and (20/3) ÷ 2 = (10/3). explain why clare's answer and reasoning are incorrect. find the correct quotient.

Correct quotient =

Step-by-step explanation:

We are given he following in the question:

Clare's, reason is incorrect.

The correct quotient can be calculated in the following manner:

Clare simply multiplied the fraction with 5 and divided the product with 2 which is incorrect. We have to multiply the fraction with the reciprocal of divisor.

correct

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.