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Mathematics

Grade10

Easy

Question

For the graph below, find the rate of change over the interval 3 $less or equal than$ t $less or equal than$ 6.

$\frac{3}{4}$
$\frac{4}{5}$
2
$\frac{4}{3}$

hint Hint:

To find out the rate of change, we observe the coordinates of the points which are on the graph. Then, we plug in the values of x and y's in the rate of change formula to get the required solution.

The correct answer is: $4 over 3$

Step 1 of 1:
Observe that, for t = 3, d(t) = 4
So, x₁ = 3, y₁ = 4
For t = 6, d(t) = 8
So, x₂ = 6, y₂ = 8
Rate of change (m) = $fraction numerator left parenthesis y subscript 2 space minus space y subscript 1 right parenthesis over denominator left parenthesis x subscript 2 space minus space x subscript 1 right parenthesis end fraction equals space fraction numerator left parenthesis 8 space – space 4 right parenthesis over denominator left parenthesis 6 space – space 3 right parenthesis end fraction equals space 4 over 3$
Final Answer:
The right choice is-- A. $4 over 3$

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