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Hi!

First of all, the rule for Turbo is indeed y=10x+80.

For Superfast, you're given the following two points: (15, 240) and (35, 400). Since you know two points of the affine function, you can find the rule by following these steps:

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Consult this sheet if needed: Finding the Equation of a Linear Function | Secondaire | Alloprof

Once you have both rules, you can solve a system of equations to find the number of rides when the prices at both facilities are the same.

I hope this helps! :)

Salut!

We know that the total surface area of cylinder B is 4 times that of cylinder A.

Knowing this, you can conclude that the area ratio k² is 4, where A is the initial shape and B is the image shape.

k² = Area B / Area A

4 = Area B / Area A

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So you can find the similarity ratio k from the area ratio k². Then, you know that the height of cylinder A is 20 cm. Therefore, you can calculate the height of cylinder B, since you know the similarity ratio.

Here are some pages that might help you:

• The Similarity Ratio for Lengths, Areas, and Volume (k, k², k³) | Secondaire | Alloprof
• The Area and the Volume of Solids | Secondaire | Alloprof
• Units of Capacity and Their Conversion | Secondaire | Alloprof

I'll let you continue with these clues. If you have any other questions, we're here! :)

Hi!

You have:

$$4a^2-9$$

You can use the difference of squares technique to find the factors of this expression:

$$(2a)^2-3^2$$

$$(2a-3)(2a+3)

So the factors are (2a-3) and (2a+3). The sum of these factors is:

$$(2a-3)+(2a+3)$$

$$2a-3+2a+3$$

I'll let you do the maths ;)

Reach out if there is anything else! 😁