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klio [65]
3 years ago
15

The graph of a proportional relationship is shown. What is the

Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:  B) $47/week

===========================================================

Explanation:

Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.

For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.

You can think of it like this:

2 weeks = $94 in savings

2/2 weeks = $94/2 in savings ... divide both sides by 2

1 week = $47 in savings

leading to the savings rate of $47 per week

----------

Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.

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Solve.<br> y =-2x + 9<br> y =4x-3
sammy [17]

Answer:

X= 2 Y=5

Step-by-step explanation:

Set them equal

-2x+9=4x-3 add -2x to both sides and -3 to both sides

12=6x then divide by 6

x=2

plug in 2 to either equation and solve for Y.

Y=-2(2)+9

Y=5

5 0
3 years ago
The weights of bags of grasecks chocolate candies are normally distributed with a mean of 4.3 ounces and a standard deviation of
skelet666 [1.2K]

Answer: 0.2743

Step-by-step explanation:

Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.

X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces

The probability that a bag of these chocolate candies weighs less than 4.27 ounces :P(X

=P(z

Hence, the required probability = 0.2743

7 0
2 years ago
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four win
larisa86 [58]

Answer:

b) 15 winners

Step-by-step explanation

if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.

(2,160,000/ 144,000)

5 0
3 years ago
What would the equation be ?
Vikentia [17]

Answer:

y = 4/5x-18/5

Step-by-step explanation:

First we find the slope from the given points (-3,-6) (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2 - -6)/(2 - -3)

   (-2+6)/( 2+3)

  4/5

The slope intercept form of an equation is

y = mx +b  where m is the slope and b is the y intercept

y = 4/5 x +b

Substitute a point into the equation to find b

-6= 4/5(-3) +b

-6= -12/5 +b

Add 12/5 to each side

-6 +12/5 = -12/5 +12/5 +b

Get a common denominator

-30/5 + 12/5 = b

-18/5 =b

The equation is

y = 4/5x-18/5

4 0
3 years ago
3.<br> * + 4y = 6<br> = -x +3<br> What is the answer
miv72 [106K]

Answer:

the answers is -4

Step-by-step explanation:

-1+3 I think this the answer

6 0
3 years ago
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