Answer:
4. a. y = 2x
b. she will need 12 packs of cashews to 24 cans of peanuts to make the mix.
5. a. YES
b. y = 2.5x
c. $30
d. 24 pounds
e. See attachment
Explanation:
4.a. packages of cashews = x
Cans of peanuts = y
The equation that represents the relationship between x and y can be expressed in slope-intercept form as y = mx
Slope = m,
Finding slope (m) using two pairs (1, 2) and (2, 4):
Slope = ∆y/∆x = (4 - 2)/(2 - 1) = ²/1 = 2
m = 2.
To write the equation, substitute m = 2 into y = mx
The equation would be:
y = 2x
b. The ordered pair (12, 24) in the context of the problem means she will need 12 packs of cashews to 24 cans of peanuts to make the mix.
5. a. The cost of candy is proportional to the amount of candy because: 5/2 = 7.5/3 = 12.5/5 = 2.5 = constant of proportionality/unit rate
b. An equation can be written to show the proportional relationship in the form of y = mx.
Where, m = constant of proportionality/unit rate
x = amount of candy
y = cost on dollars
Thus, substitute m = 2.5 into y = mx
The equation would be:
y = 2.5x
c. To find how much it would cost (y) for 12 pounds of candy (x), substitute x = 12 into y = 2.5x to find y.
Thus:
y = 2.5(12) = 30
It would cost $30 for 12 pounds of candy
d. To find the maximum amount of candy (x) you can buy with $60 (y), substitute y = 60 into y = 2.5x
Thus:
60 = 2.5x
Divide both sides by 2.5
60/2.5 = 2.5x/2.5
24 = x
x = 24
Maximum amount of candy you can buy with $60 is 24 pounds of candy.
e. See attachment