Annie's Attic does not have a proportional relationship but Bettie's Boutique does. The constant of proportionality at Betty's Boutique is 0.8.
Step-by-step explanation:
Step 1; To have a proportional relationship, if x's value varies, the y's value should also vary. If x increases, y increases correspondingly while if x decreases, y should also decrease.
Step 2; For Annie's Attic, the sale price = Original price - $5.
No matter what the value of the original price, there is only a difference of $5. Even if the price is increased to $100 the discount will only be $5. So this is not a proportional relationship.
Step 3; At Bettie's Boutique, they are having a 20% off sale. Whatever the cost, 20% is reduced. If bought for $15, price is $15 - 20% = $12. If bought for $25, the price will be $25 - 20% = $20.
If the original price is taken as x as the sale price is y, the relationship is given by; y = (100% - 20%) × x = 80% × x = 0.8 × x. So y = 0.8x. Here the constant of proportionality is 0.8.
Answer:
y=3x+8
Step-by-step explanation:
Answer:
k + a = 62
k = 31 + a
Step-by-step explanation:
Given that:
Sum of ken and Alan's age = 62
Ken is 31 years older than Alan
k + a = 62 - - - (1)
k = 31 + a - - - (2)
Hence, the system of equation which best describes the ages of Ken and Alan are:
k + a = 62
k = 31 + a
154 ÷ 28 = 5.5
5.5 - 42 =
n = (-36.5)
If n = 4 our first step would be to substitute this into the expression:
28 - 12√4 ÷ 2
Then solve the expression:
28 - 12√2
= 11.02944