PLEASE HELP 100 POINTS! NEED HELP ASAP
2 answers:
Answer:
see the explanation
the graph in the attached figure
Step-by-step explanation:
Let
x ----> the number of bags of popcorn
y ---> the number of drinks
we know that
The price of each bag of popcorn was $5
The price of each drink was half the price of a bag of popcorn
so
The price of each drink was $5/2=$2.5
Remember that
The number of bags of popcorn and drinks Judy bought, multiplied by their prices, should equal $30.
The linear equation that represent this situation is
To graph the linear equation , find the intercepts
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
In the context of the situation, the y-intercept represent the number of drinks Judy can buy when the number of bags of popcorn equals zero
so
For x=0
The y-intercept is the point (0,12)
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
In the context of the situation, the x-intercept represent the number of bag of popcorn Judy can buy when the number of drinks equals zero
so
For y=0
The x-intercept is the point (6,0)
To graph the line plot the intercepts and join the points
using a graphing tool
The graph in the attached figure
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Answer:
The value of p at q = 5 is 406.25
Step-by-step explanation:
∵ p varies directly as the cube of q
→ That means p ∝ q³
∴ The equation of variation is p = kq³, where k is the constant of variation
∵ p = 26 when q = 2
→ Use them to find the value of k
∵ 26 = k(2)³
∴ 26 = k(8)
∴ 26 = 8k
→ Divide both sides by 8
∴
∴ 3.25 = k
→ Substitute it in the equation of variation
∴ p = 3.25 q³ ⇒ equation of variation
∵ q = 5
→ Substitute it in the equation of variation to find p
∴ p = 3.25 (5)³
∴ p = 406.25
∴ The value of p at q = 5 is 406.25