Given:
Bees scored 9 less than three times as many points as the Hornets.
Wasps scored 28 more points than the Hornets.
Together the three teams scored 184 points.
To find:
The required equation for this scenario.
Step-by-step explanation:
Let x represent the number of points scored by the Hornets.
Bees scored 9 less than three times as many points as the Hornets.
Bees score = 3x-9
Wasps scored 28 more points than the Hornets.
Wasps score = x+28
Together the three teams scored 184 points.
Therefore, the required equation is .
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Solution:
Cost for single ticket = t dollars
Discount percent per ticket = 5%
Number of tickets bought = 10
Total discount for 10 group tickets = Number of tickets × Discount amount
= 10 × 0.05t
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 5%t
= 
t
= 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Vary Directly: y = k*x
Vary Inversely: y = k/x
Because x and y vary directly, our equation will look like the first one.
y = k*x
With the inputted values:
-16 = k * 4
Now, to find k, isolate the variable
k = -16/4 = -4
Your final equation will then look like this:
y = -4 * x
