Answer:
- 300 -- venue cost
- 24 -- cost for each couple
- x -- the number of couples
- 24x the cost associated with all couple
- 300+24x -- the total cost for the dance
Step-by-step explanation:
Given the scenario that cost is $300 for the venue and $24 for each couple attending a dance at that venue, you want to know the meaning of the variables and terms in 300 +24x.
<h3>Comparison</h3>
You can compare the terms, coefficients, and variables in the given expression with the parts of the problem statement.
- 300 is a constant term that corresponds to "$300 for a venue rental'
- 24 is a coefficient that corresponds to "$24 for each couple"
- x is a variable representing the number of "couple that attends"
- 24x is a term representing the cost associated with "$24 for each couple that attends"
That is, the cost associated with the number of people attending is $24 times the number of couples: 24x. The expression 300+24x is the total of the fixed venue cost and the per-couple costs
Answer:
0.33€
Step-by-step explanation:
19.67-20= 0.33€
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
![m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
As given
line passing through the points (1, −5) and (4, 1) .
![m = \frac{1-(-5)}{4-1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1-%28-5%29%7D%7B4-1%7D)
![m = \frac{1+5}{4-1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%2B5%7D%7B4-1%7D)
![m = \frac{6}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6%7D%7B3%7D)
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
b. He will have $4507 after 36 months
Step-by-step explanation:
The form of the slope-intercept equation is y = m x + b, where
- m is the slope (constant rate)
- b is the intercept (initial amount value y at x = 0)
∵ The man decides to take out $100 per month from his
savings account
- That means the constant rate is 100 dollars per month, that money
will detected from his initial money every month
∴ m = 100
∴ The form of the equation is y = b - 100 x, where
- x represents the number of the months
- y represents the amount of money in his saving account in x months
To find the value of b substitute x and y by the given information
∵ He has $3507 in his account after 46 months
∴ x = 46 and y = 3507
∵ 3507 = b - 100(46)
∴ 3507 = b - 4600
- Add 4600 to both sides
∴ 8107 = b
∴ y = 8107 - 100 x
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
∵ y = 8107 - 100 x
∵ x = 36
∴ y = 8107 - 100(36)
∴ y = 8107 - 3600
∴ y = 4507
b. He will have $4507 after 36 months
Learn more:
You can learn more about the linear equations in brainly.com/question/9801816
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