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Alex_Xolod [135]

3 years ago

13

A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C,

of belonging the gym for m months?

2 answers:

egoroff_w [7]3 years ago

7 0

Answer: Total cost function would be $C=75+25m$

Step-by-step explanation:

Since we have given that

Amount for one time fee = $75

Amount of membership per month = $25

Let the number of months be 'm'.

So, Total cost 'C' would be

$C=75+25m$

Hence, Total cost function would be $C=75+25m$

Mashcka [7]3 years ago

6 0

C=25m+75

this is simple y=mx+b (slope intercept form) b is the constant, or 75, no matter what it stays the same. m is the factor that changes, it depends on how many months yous stay with the gym.

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a) The points of the new quadrillateral are $A'(x,y) = (0, 2)$ , $B'(x,y) = (-1, -2)$ , $C'(x,y) = \left(-3,-2\right)$ and $D'(x,y) = (-4, -1)$ , respectively.

b) The points of the new quadrillateral are $A'(x,y) = (-5, 5)$ , $B'(x,y) = (-8,-7)$ , $C'(x,y) = (-13, -7)$ and $D'(x,y) = (-17, -4)$ , respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

$P'(x,y) = k\cdot P(x,y)$ (1)

Where:

$P(x,y)$ - Original point
$P'(x,y)$ - Dilated point.

If we know that $k = \frac{1}{3}$ , $A(x,y) = (0,6)$ , $B(x,y) = (-3,-6)$ , $C(x,y) = (-9, -6)$ and $D(x,y) = (-12, -3)$ , then the new points of the quadrilateral are:

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$A'(x,y) = (0, 2)$

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$B'(x,y) = (-1, -2)$

$C'(x,y) = \frac{1}{3}\cdot (-9,-6)$

$C'(x,y) = \left(-3,-2\right)$

$D'(x,y) = \frac{1}{3}\cdot (-12,-3)$

$D'(x,y) = (-4, -1)$

The points of the new quadrillateral are $A'(x,y) = (0, 2)$ , $B'(x,y) = (-1, -2)$ , $C'(x,y) = \left(-3,-2\right)$ and $D'(x,y) = (-4, -1)$ , respectively. $\blacksquare$

b) A translation along a vector is defined by following operation:

$P'(x,y) = P(x,y) +T(x,y)$ (2)

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If we know that $T(x,y) = (-5,-1)$ , $A(x,y) = (0,6)$ , $B(x,y) = (-3,-6)$ , $C(x,y) = (-9, -6)$ and $D(x,y) = (-12, -3)$ ,

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$D'(x,y) = (-17, -4)$

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