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lana [24]
3 years ago
7

The equation y = 7x+25 gives the number of minutes it takes to prepare a meal y given the number of people being served x. Which

statement is true?
A. For every extra minute it takes to prepare a meal, 7 more people can be fed.
B. For every extra minute it takes to prepare a meal, 25 more people can be fed.
C. For every extra person served, the time it takes to prepare a meal increases by 7
minutes.
D. For every extra person served, the time it takes to prepare a meal increases by 25
minutes.
Mathematics
1 answer:
klemol [59]3 years ago
8 0

<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7  minutes.

<u>Solution- </u>

<em>y = 7x+25</em>

Where y = the number of minutes it takes to prepare a meal

           x = the number of people being served.

If the number of persons increased by one, so x' = (x+1)

Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7

∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.


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Answer:

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Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

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\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
Find last year’s salary if, after a 3% pay raise, this year’s salary is $30,900
Liono4ka [1.6K]
Your answer is $30,000.
The way I have answered this is quite strange, but I'll do my best to explain it. So because we know that $30,900 is 3% than last year, we can call it 103%. This allows us to form a ratio and therefore find 100%.
30,900 : 103
÷ 103
300 : 1
× 100
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5 0
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Answer:

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The first birdhouse is 27.7 inches to the right

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27.7 - (24.9)

27.7-24.9 =2.8

2.8

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4 0
2 years ago
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Answer:

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Step-by-step explanation:

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times each side by 7

h=462

4 0
2 years ago
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