Tina wrote mathematical expressions for five statements. Her work is shown. Statement Tina's Expressions A The product of a number and seven. 7n B The sum of three consecutive numbers. n+(n+1)+(n+2) C The square of a number times three. 3n2 D Twice the sum of a number and 8. 2n+8 E The cube of a number divided by two. n3÷2 Did Tina write the correct expressions? Select Correct or Incorrect for each expression. Select Linear or Nonlinear to correctly identify each of Tina's expressions.

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Step-by-step explanation:

Linear expression is usually an expression of 1st degree.

A. The product of a number and seven

Correct, linear

B. The sum of three consecutive numbers.

Let the smallest number be n, the next number is n + 1 and the last number is n + 2. Then their sum is

Correct, linear

C. The square of a number times three.

Let the number be n, then its square is and the square of a number times three is

Correct, nonlinear

D. Twice the sum of a number and 8.

If the number is n, then the sum of the number anf 8 is n + 8. Twice the sum is

Incorrect, linear

E. The cube of a number divided by two.

If the number is n, then its cube is The cube of the number divided by 3 is

Correct, nonlinear

A] from the data given, the quadratic equation modeling this will be found using an excel sheet: from the graph attached, the equation is : y=-0.4931x²+23.38x+996.03b]  estimate the soil density of a sample at a depth of 20 m.from the formula: f(x)=-0.4931x²+23.38x+996.03thusf(20)=-0.4931(20)²+23.38(20)+996.03f(20)=-197.24+467.6+996.03f(20)=1266.39