Which of the following situations represents a multiplicative relationship with a unit rate of 0.5? On her diet, Mrs. Jackson lost 5 pounds every month.
Mila eats 12 cup of yogurt every day.
Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.
Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home

Step-by-step explanation:

The relationship between two quantities could be additive (In this case, one quantity is a result of adding a value to the other quantity) or multiplicative (In this case, one quantity is the result of multiplying the other quantity by a value).

Multiplicative Relationship is a relationship that shows two quantities expressed as multiples of each other.

It can be written as: y = nx

where y and x are multiples of each other

n is equivalent to the ratio of y to x

Let's consider the options we have:

a) On her diet, Mrs. Jackson lost 5 pounds every month.

y = x -a (a= constant)

y = x-5

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

b) Mila eats 12 cup of yogurt every day.

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

c) Marvin spent $5 on a value meal after he earned $0.50 a day for doing chores at home.

y = nx

n = 0.5

y is the result of multiplication of 0.5 by x

y = 0.5x

d) Manuel has 5 pet turtles. He hopes to add a new turtle to his reptile habitat each month.

y = x+a (a = constant)

y = x +1

There is no multiplicative relationship of a unit rate of 0.5 in the statement.

idk i would have to be there to under stand it

step-by-step explanation:

idk i would have to be there to under stand it

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it