Answer: The correct equation is (d). 15 + 40 = 5(3 + 8).
Step-by-step explanation: We are given to select the correct equation from the options that demonstrates the distributive property.
DISTRIBUTIVE PROPERTY: For any three real numbers a, b and c, the distributive property can be written as
(i) a(b + c) = ab + ac,
(ii) (a + b)c = ac + bc.
Out of the given for equations, only equation (d) gives the distribution of 5 over the addition of 3 and 8.
We have, according to the distributive property,
5(3 + 8) = 5 × 3 + 5 × 8 = 15 + 40.
Thus, the correct option is (d).
