Please help me with these problems. This is not multiple choice. Part 3

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  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See link.

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5.

Given:

  triangular garden with base 7 ft and area 28 ft^2

Find:

  height of the triangle

Solution:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

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6.

Given:

  (0, 110), (5, 345) . . . . . where the points represent ...

     (years after 2010, students using the hotline)

Find:

  a linear model for the data

  the number of students predicted for 2019

Solution:

The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

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In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

Step-by-step explanation:

Q4

Tom's speed upstream would be:

The distance traveled in 30 min:

Q5

Triangle area formula:

A and b given, substitute values to find the value of h:

Q6

Change in number of students over 5 years:

Rate of change per year:

Predicted number of students in 2019

a

step-by-step explanation:

the answer is a if my teacher taught me correct