In a computer game, players complete levels by arranging captured objects in a triangular pattern. The triangle for level n has a bottom row with n objects, and each successive row
above has one less object until the top row, which has one object. The
function (n) = 0.5n^2 + 0.5n gives the total number of objects required to complete a level.
t
where n is the level number.
3. A player started at level 3 and ended at level 7. What is the average rate of change
between these levels ? Explain what your answer means in context.

-9

Step-by-step explanation:

4(0.5n-3)=n-0.25(12-8n)

2n-12=n-3+2n

2n-12=3n-3

2n-3n=-3+12

step-by-step explanation:

the areas of two similar triangles are 18 cm2 and 8 cm2. one of the sides of the first triangle is 4.5 cm. what is the length of the corresponding side of the other triangle?

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.