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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Answer:
Its 8
Step-by-step explanation:
You will regroup :) I hope that helped, btw the explanation is in the picture
Answer:
The first one is linear the rest isn't
Step-by-step explanation:
A linear function represent a straight line.
The first one shows that.
The second function look more like a tangent function which is a trig function so it isn't linear. The third one is a exponential function which is definitely not linear.
Answer:
Vitamin C levels
Step-by-step explanation:
In order to identify which is the dependent variable in a experiment, it is useful think which is the variable being tested in the experiment. Whereas for the independent variable you need to check which is the variable that is usually controlled to test its effects on the dependent variable.
In this case you are measuring vitamina C levels (dependent variable) which you expect that depends on the fruit which you are testing (variable independent).
Note that the environmental conditions are factors which can affect also your dependent variable but you are not controlling that. They could be independent variables if you manipulate them.