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cricket20 [7]
3 years ago
15

At the amusement park,each student is given $16 for food. This covers the cost of 2 meals plus $4 for snacks.How much money does

the school except each student to spend per meal? What equation could be used to represent this situation
A) 4m-16=2
B) 2m+4=16
C) 4-2m=16
D) 4m-2=16
Mathematics
2 answers:
Nina [5.8K]3 years ago
6 0
The answer should be B, because 16 is basically just 2 meals, which makes 2m and 4 for snacks. so is 2m + 4 = 16
lara [203]3 years ago
3 0

Let

m-------> the cost of one meals in dollars

we know that

2m+4=16 ------> equation A

Solve for m

Subtract 4 both sides

2m+4-4=16-4

2m=12

Divide by 2 both sides

m=12/2=\$6

the cost of each meal is \$6

therefore

<u>the answer is</u>

The equation that could be used to represent this situation is

2m+4=16

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Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

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