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11111nata11111 [884]
3 years ago
14

It costs a family of two $25 to go to the state fair, and a family of six $65. Find the equation, rate of change, and initial va

lue of the function that represents this situation?
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Family of 2

Cost, C1 = $25

Family of 6

Cost, C2 = $65

Given that 2 points are given above as the following in coordinate form:

A(2,25) and B(6,65)

Rate of change is given as = (y2 - y1)/(x2 - x1)

= (65 - 25)/(6-2)

= 40/4

Therefore,

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

(y - 25)/(65 - 25) = (x - 2)/(6 - 2)

(y - 25)/40 = (x - 2)/4

(y - 25) = 40/4 × (x - 2)

(y - 25) = 10 × (x - 2)

Expanding,

y - 25 = 10x - 20

y = 10x - 20 + 25

y = 10x + 5

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Bond [772]

Answer:

D

Step-by-step explanation:

The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!

8 0
2 years ago
Lynn bought a box of 45 cards for $42.75 how much did each card cost?
pav-90 [236]

Divide the amount of money with the amount of cards.

42.75/45 = 0.95

Each card costs $0.95

hope this helps

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3 years ago
In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t
Lorico [155]
Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

\bf \textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;-------\\&#10;c=2a\\&#10;a=a\\&#10;b=5&#10;\end{cases}\implies (2a)^2=a^2+5^2

\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25&#10;\\\\\\&#10;a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}&#10;\\\\\\&#10;\textit{and then we can \underline{rationalize the denominator} }&#10;\\\\\\&#10;a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}

7 0
3 years ago
Find the distance between the points.<br> (0,4) and (-3,4)<br> The distance is
Inessa [10]
<h3>Answer:  3 units</h3>

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

Explanation:

The y coordinates are identical, so we just need to focus on the x coordinates.

Going from 0 to -3 is a distance of 3 units. Drawing out a number line might help.

Or we could apply subtraction and absolute value

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which is the same as

|x2-x1| = |-3-0| = |-3| = 3

The absolute value is to ensure the result is never negative. Distance is never negative.

Side note: if the y coordinates weren't the same, then we'd have to use either the pythagorean theorem or the distance formula.

4 0
2 years ago
How many 30 degree angles are in a 150 degree angle? Use repeated subtraction to solve.
sashaice [31]

150 minus 30 equals 120 but i did 150/30 and got 5

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3 years ago
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