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3 years ago

The graph displays the cost of a pizza based on the number of toppings. Which is the independent variable in this situation?

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

When we have a graph with two axes, in the usual notation we use the horizontal axis as the independent variable (the one we can modify) and the vertical axis represents the dependent variable (the one that changes in response to the independent one).

In this case, we can see that in the horizontal axis we have the number of toppings (and this makes sense, because we can choose the number of toppings that we want) while on the vertical axis we have the price (also makes sense, because the price depends on the number of toppings we want)

Then we can conclude that the independent variable is the number of toppings.

The correct option is D.

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144=12x 45 =4x-27 2x-2=14 12x=44-10x does any one kno these questions?

Free_Kalibri [48]

Hello russell6333!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

144 = 12x
45 = 4x - 27
2x - 2 = 14
12x = 44 - 10x

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}$

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$2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}$

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$3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}$

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$4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}$

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To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
Remember that the signs & operations will change when you bring a term to the other side of the equation.
So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

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Hope it'll help you!

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Step-by-step explanation:

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