. The number of drops of red tint needed to make a certain shade of purple paint varies directly with the number of gallons of paint base. Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade. How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?

15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade

Step-by-step explanation:

The number of drops of red tint needed to make a certain shade of purple paint varies directly with the number of gallons of paint base.

This is expressed Mathematically as:

= R ∝ P

Where R = Red paint

P = Paint base

R = kP

Suppose that 5 drops of red tint can be mixed with 2 gallons of paint base to create the correct shade.

Hence

5 = 2k

k = 5/2

How many drops of red tint must be mixed with 6 gallons of paint base to create the correct shade?

This is calculated as:

R = kP

Where k = 5/2

Hence:

R = 5/2 × 6

R = 15 drops of red tint

Hence, 15 drops of red tint must be mixed with 6 gallons of paint base to create the correct shade.

true

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have