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Mathematics

Grade10

Easy

Question

What is the rate of change over the interval 15 $less or equal than$ x $less or equal than$ 18?

$\frac{3}{5}$
$\frac{1}{2}$
$\frac{3}{2}$
$\frac{2}{3}$

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: $2 over 3$

Step 1 of 1:
Observe that,
x₁ = 15, y₁ = 3
x₂ = 18, y₂ = 5
Rate of change (m) = $fraction numerator left parenthesis y subscript 2 minus space y subscript 1 right parenthesis over denominator left parenthesis x subscript 2 minus space x subscript 1 right parenthesis end fraction space equals space fraction numerator left parenthesis 5 space – space 3 right parenthesis over denominator left parenthesis 18 space – space 15 right parenthesis end fraction equals space 2 over 3$
Final Answer:
The right choice is-- C. $2 over 3$

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