Question

it takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes to solve 4 logic puzzles. use models to show the rate at which eachstudent solves the puzzles, in minutes per puzzles

Answer 1

Answer:

Maya ---> $6\ minutes/puzzle$

Amy ----> $7\ minutes/puzzle$

see the procedure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

m ---> the number of minutes

p ---> the number of puzzles

In this problem, the relationship between the variables m and p represent a proportional variation

so

$m=kp$

Maya

it takes Maya 30 minutes to solve 5 logic puzzles

we have

m=30, p=5

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{30}{5}=6\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=6p$

Amy

it takes Maya 28 minutes to solve 4 logic puzzles

we have

m=28, p=4

Determine the value of the constant of proportionality k

$k=\frac{m}{p}$

substitute the given values

$k=\frac{28}{4}=7\ minutes/puzzle$

The value of the constant k is the same that the slope or unit rate

The equation is equal to

$m=7p$