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marissa [1.9K]
3 years ago
6

Chuck chooses an investment plan that requires him to make a one-time investment of $10,000, and then equal monthly investments

of $350 for the next 5 years. The function y = 10,000 + 350x represents the total amount in dollars Chuck will have invested, y, in relation to the number of months elapsed, x.
Which statements about this function are true?



a)The function is a linear function.

b)The function is a nonlinear function.

c)The function is an increasing function.

d)The function is a decreasing function.

e)The function changes at a constant rate.
Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

As the function is

y = 10,000 + 350x , Here x is the number of months elapsed and y is the amount after x number of months.

This function is for the form

y = mx +b or y = b +mx

which is the form of a linear equation

So the given function is a linear function.

So a is true

a)The function is a linear function.

Also The function is increasing at a constant rate , So options C and E are also correct

So

A, C and E

PilotLPTM [1.2K]3 years ago
5 0

Answer:

<h2>A, C and E are correct.</h2>

Step-by-step explanation:

The given function is

y=10,000+350x

Where y is the total amount of money and x is months.

<em>What the function states is that Chuck started with $10,000 and then, he began to save $350 per month.</em>

An important fact is that this function is linear, because both variables as the unit as exponent. In consequence, the graph of the function is a straight line.

Additionally, this is an increasing function, because the coefficient of the variable is positive.

Finally, this function has a constant rate of change, which is a characteristic of linear functions, its rate is $350 per month.

Therefore, the right answers are a, c and e.

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What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box
RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})} from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as \frac{-2-10}{-1-3} =\frac{-12}{-4} =3


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3 years ago
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storchak [24]
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strojnjashka [21]

Answer:=6x3−9c

Step-by-step explanation:

3x3+4x2+3x3−4x2−9c

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Combine Like Terms:

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3 years ago
1/4x +4 = 1/2 solve with explanation
IRINA_888 [86]

Answer:

<h3>x = -14</h3>

Step-by-step explanation:

Given the equation

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1/4 x = -7/2

Cross multiply

2x = -7*4

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Hence the value of x is -14

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