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mixas84 [53]
3 years ago
7

The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a

bag containing 100 pieces costs $3.99. Write the function that models this situation. Express your answer in y = mx + b form, using decimals. Round decimal values to the nearest hundredth.
Mathematics
1 answer:
koban [17]3 years ago
3 0
When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely
(y-y1)=m(x-x1)  where
m=slope=(y2-y1)/(x2-x1)
and
(x1,y1) and (x2,y2) are the given two points.

Here
(x1,y1)=(25,0.99), and
(x2,y2)=(100,3.99)
Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04
Find equation:
(y-y1)=m(x-x1) 
(y-0.99)=0.04(x-25)
Expand and simplify:
y=0.04x-1+0.99 , simplify
y=0.04x-0.01..............................Function that models the situation
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3 years ago
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postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

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20x = 420-300

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x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

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7 0
2 years ago
Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill
Softa [21]

Answer:

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So 4/0.20 = 20.

6 0
3 years ago
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Alla [95]

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