Answer:
- 65 -3x = 55 -2.5x
- 20 periods
- $5
Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
Answer:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. ... A dilation stretches or shrinks the original figure. • A description of a dilation includes the scale factor (or ratio) and the center of the dilation
#6
Yes
Direct variation because Time increases cupcakes increases and vice versa
#B
Constant of proportionality represents the amount of time required per cupcakes
#7
Yes we can find it
We have to check the x and y values of the ordered pairs (x,y)
If y is decreasing with respect to increase in x then it's inverse variation
1 + 4x = -5 + 7x
<u> -4x </u> <u> - 4x </u>
1 = -5 + 3x
<u>+5 </u> <u>+5 </u>
6 = 3x

2 = x
Answer: x = 2