After 5 lessons of French, you have learned 20 vocab words. After 10 lessons, you know 40 vocab words. Write an equation
that gives the number of vocabulary words you know as a function of the number of the lessons you have had.
Label variables.
So, 5x+20
Isn't it?
Somebody prove me right/wrong.
Thank you.
u r right
number words=4*lessons
The complete equation is:
5x + 10x = 20 + 40
15x = 60
x = 60/15
x = ?
To write an equation that gives the number of vocabulary words you know as a function of the number of lessons you have had, let's label the variables:
Let's say:
n = the number of lessons you have had
v = the number of vocabulary words you know
Based on the information given, we can form two data points:
Data Point 1:
When n = 5, v = 20
This means that after 5 lessons, you know 20 vocabulary words.
Data Point 2:
When n = 10, v = 40
This means that after 10 lessons, you know 40 vocabulary words.
To find the equation, we can use the slope-intercept form of a linear equation, which is y = mx + b.
First, let's find the slope (m):
Using the two data points, we can calculate the slope:
m = (change in v) / (change in n)
m = (40 - 20) / (10 - 5)
m = 20 / 5
m = 4
Now, let's find the y-intercept (b):
We can substitute one of the data points into the equation to solve for b. Let's substitute (5, 20):
20 = 4(5) + b
20 = 20 + b
b = 20 - 20
b = 0
So, the equation that gives the number of vocabulary words you know as a function of the number of lessons you have had is:
v = 4n
In this equation, v represents the number of vocabulary words you know, and n represents the number of lessons you have had.
Therefore, the correct equation is v = 4n, not 5x + 20.