Answer:
Justification of 'Cost of Match , based on attendants' linear equation
Step-by-step explanation:
Yes , this linear equation might hold right in denoting total cost 'y' for 'x' people attending racing event
Given equation : y = 13x + 80
Cost 'y' is the variable dependent on explanatory variable ie no. of race attendants. So, <em>y</em> is on LHS, being determined by <em>x</em> on LHS.
80 is the autonomous constant intercept of equation, denoting fixed setup cost irrespective of no. of attendants. +13x denotes every additional attendant increases cost by 13 units (above the level of fixed cost), this is the positive slope of equation (as variables are directly related)
Answer:
Step-by-step explanation:
t/6 is the same as (1/6)t
-5 - 1/6t ≥ -9......add 5 to both sides
-1/6t ≥ -9 + 5
-1/6t ≥ - 4....u can either divide both sides by -1/6, or u can multiply both sides by -6....either way, u have to switch the sign because when dividing/multiplying by a negative requires that. I am multiplying both sides by -6, cancelling the -1/6 on the left
t ≤ -4 * -6
t ≤ 24 <=======
The answer is b, f(x) = (x) + 1.
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
1/2
Step-by-step explanation:
Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality
From the above question, we can see that the Number of Chocolate chips is directly proportional to the number of Dozen cookies
Hence:
C = Chocolate chips
D = Dozen cookies
Hence:
C ∝ D
C = kD
Where k = Constant of Proportionality.
We are told that , the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies.
Hence:
2 = 4k
k = 2/4
k = 1/2
Also, He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips.
3 = 6k
k = 3/6
k = 1/2
Therefore, from the calculations above, the constant of proportionality is 1/2