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pishuonlain [190]
4 years ago
5

PLEASE SOMEONE HELP ME FAST!!!!!!!!!!!!!!Mrs. Solar modeled Contractor 2's fees with the formula y=150 + 55x. Mrs. Solar compare

d Contractor 2's fee to Contractor 1's fee (a) what does the difference between 50 and 55 mean in the real- world context? (b) what does the differnce between 200 and 150 mean in the real- world context?
Mathematics
1 answer:
TEA [102]4 years ago
6 0
[a] the difference between 50 and 55 is the amount your fees are increasing by
[b] the difference between 200 and 150 is the amount you initially owed
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Question:

Evaluate the expressions 3x - 2 and 4x + 4 for the following values of x. When you have found the value for each expression, write a statement using <, >, or = that shows how the two values are related. a. x = 0 b. x = -6 c. x = 5 d. x = -2

Answer:

Part a: 4x+4>3x-2

Part b: 4x+4=3x-2

Part c: 4x+4>3x-2

Part d: 4x+4>3x-2

Explanation:

Part a: Substituting x=0, we get,

\begin{aligned}3 x-2 &=3(0)-2 \\&=-2\end{aligned}

\begin{aligned}4 x+4 &=4(0)+4 \\&=4\end{aligned}

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part b: Substituting x=-6, we get,

\begin{aligned}3 x-2 &=3(-6)-2 \\&=-18-2 \\&=-20\end{aligned}

\begin{aligned}4 x+4 &=4(-6)+4 \\&=-24+4 \\&=-20\end{aligned}

The value of 3x-2 and 4x+4 are equal.

Thus, 4x+4=3x-2

Part c: Substituting x=5, we get,

\begin{aligned}3 x-2 &=3(5)-2 \\&=15-2 \\&=13\end{aligned}

\begin{aligned}4 x+4 &=4(5)+4 \\&=20+4 \\&=24\end{aligned}

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

Part d: Substituting x=-2, we get,

\begin{aligned}3 x-2 &=3(-2)-2 \\&=-6-2 \\&=-8\end{aligned}

\begin{aligned}4 x+4 &=4(-2)+4 \\&=-8+4 \\&=-4\end{aligned}

The value of 3x-2 is less than 4x+4

Thus, 4x+4>3x-2

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