Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The school's profit (p ), in dollars, from the dance depends on the number of tickets sold (1).
Which function describes the relationship between p and 1?

We want to find the equation that represents the school's profit. We will get:

P(x) = $10*x - $400

We know that the tickets to the school dance are sold for $10 each, then the revenue, if they sell x tickets, is just:

r(x) = $10*x

And we know that they spent a total of $400.

Remember that profit is defined as the difference between revenue and costs, so the profit equation is just:

P(x) = $10*x - $400

If you want to learn more, you can read:

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P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.