Linear Function

Q. Find the output $y$, when input, $x$, is $-35$.

$y=50-\frac{x}{7}+2$

Q. What will be the linear function of the following?

1. $y=2x+x$
2. $y=2x+1$

Q. What would be the value of '$y$' when '$x=-5$' for the equation of line $y=3x$?

1. 15
2. -15
3. 9
4. -9

Q. Determine whether the data from the following table represents a linear function:

1. Yes
2. No

Q. What will be the value of $y$ for the point a?

Q. Which one of the following equation is linear?

1. $y=8x+3$
2. $y=2x^2-6x+8$
3. $y=x+x^{\frac{1}{4}}$
4. $y=\frac{4}{x}$

Q. $y=2x+2$ is a

1. Linear function
2. Non linear function
3. Not a function

Q. A milk vendor mixes water with pure milk in the ratio of $1:3$ while processing it. The vendor dispatches $50\text{L}$ of the mixed milk each day. Determine the total quantity of mixed milk in terms of quantity of pure milk used. Is this a function?

1. Yes, this is a non-linear function.
2. This is not a linear function as three variables are involved.
3. Total quantity of mixed milk is four-third of the quantity of pure milk.
4. Total quantity of mixed milk is two-third of the quantity of pure milk.

Q. For the equation $y=f\left(x\right)$, a function is said to be a linear function if the exponents on the $x$'s are either 0 or

1. 1

Q. Choose the following with their correct options

1. $y=x$
2. Linear function
3. $y=1$
4. Same output
5. $x=6$
6. Relation only
7. $y=x^3$
8. Cubic function