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malfutka [58]
4 years ago
8

Which equation is not a linear function? Select each correct function.

Mathematics
1 answer:
tino4ka555 [31]4 years ago
7 0

\text{The point-slope form of a linear function:}

y = mx + b


y=xy+2\qquad\text{subtract xy from both sides}\\\\y-xy=2\qquad\text{distributive}\\\\(1-x)y=2\qquad\text{divide both sides by (1 - x)}\\\\y=\dfrac{2}{1-x}\to\text{nonlinear}\\---------------------------\\y=x+2y\qquad\text{subtract 2y from both sides}\\\\-y=x\qquad\text{change the signs}\\\\y=-x\to\text{linear}\\-----------------------------\\y=-x-2y\qquad\text{add 2y to both sides}\\\\3y=-x\qquad\text{divide both sides by 3}\\\\y=-\dfrac{1}{3}x\to\text{linear}\\-----------------------------

y=x-y+2\qquad\text{add y to both sides}\\\\2y=x+2\qquad\text{divide both sides by 2}\\\\y=\dfrac{1}{2}x+1\to\text{linear}\\----------------------------\\y=x^2-2+2y\qquad\text{subtract 2y from both sides}\\\\-y=x^2-2\qquad\text{change the signs}\\\\y=-x^2+2\to\text{nonlinear}\\----------------------------\\y=-y+2-2x\qquad\text{add y to both sides}\\\\2y=2-2x\qquad\text{divide both sides by 2}\\\\y=-x+1\to\text{linear}

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They sold 64 adult tickets (x) and 132 kid tickets (y) and made $1040. An adult ticket is double the cost of a kid's ticket. How
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Answer: the cost of one adult ticket is $8

the cost of one kid ticket is $4

Step-by-step explanation:

Let x represent the cost of one adult ticket.

Let y represent the cost of one kid ticket.

They sold 64 adult tickets (x) and 132 kid tickets (y) and made $1040. This means that

64x + 132y = 1040 - - - - - - - - - - -1

An adult ticket is double the cost of a kid's ticket. This means that

x = 2y

Substituting x = 2y into equation 1, it becomes

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128y + 132y = 1040

260y = 1040

y = 1040/260 = 4

x = 2y = 2 × 4

x = 8

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