Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

h=16,890−3.4th=16,890-3.4t\newlineThe height, hh, in feet, of a mountain at a time, tt, measured in thousands of years from the present is given by the equation. What is the best interpretation of 16,89016,890 as shown in the given equation?\newlineChoose 11 answer:\newline(A) The height of the mountain is presently 16,89016,890 feet.\newline(B) The height of the mountain will reach 00 feet 16,89016,890 years from now.\newline(C) The height of the mountain increases by 16,89016,890 feet every thousand years.\newline(D) The height of the mountain decreases by 16,89016,890 feet every thousand years.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Interpreting Linear Expressionsright chevron icon

Full solution

Q. h=16,890−3.4th=16,890-3.4t\newlineThe height, hh, in feet, of a mountain at a time, tt, measured in thousands of years from the present is given by the equation. What is the best interpretation of 16,89016,890 as shown in the given equation?\newlineChoose 11 answer:\newline(A) The height of the mountain is presently 16,89016,890 feet.\newline(B) The height of the mountain will reach 00 feet 16,89016,890 years from now.\newline(C) The height of the mountain increases by 16,89016,890 feet every thousand years.\newline(D) The height of the mountain decreases by 16,89016,890 feet every thousand years.
  1. Analyze Equation: Let's analyze the equation h=16,890−3.4th = 16,890 - 3.4t. This equation describes the height of a mountain as a function of time. The variable hh represents the height of the mountain in feet, and tt represents time in thousands of years from the present.
  2. Constant Term: The term 16,89016,890 is a constant in the equation, which means it does not change with time. It is the initial value of the height when t=0t = 0, which corresponds to the present time.
  3. Interpretation of 16,89016,890: Since 16,89016,890 is the value of hh when tt is 00, it represents the current height of the mountain. Therefore, the best interpretation of 16,89016,890 is that it is the present height of the mountain in feet.
  4. Incorrect Interpretations: The other terms in the choices provided do not accurately describe the role of 16,89016,890 in the equation. For example, choice (B) suggests that the mountain will reach 00 feet 16,89016,890 years from now, which is not indicated by the equation. Choice (C) suggests an increase in height, and choice (D) suggests a decrease by 16,89016,890 feet every thousand years, both of which are incorrect interpretations of the constant term.

More problems from Interpreting Linear Expressions

Question
Simplify the expression:\newline7z2+3z27z^2 + 3z^2 \newline ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify the expression:\newline10f+8f−9f−6f10f + 8f - 9f - 6f\newline____
Get tutor helpright-arrow

Posted 7 months ago

Question
Subtract.\newline(3h+6)−(3h+2)(3h + 6) - (3h + 2)\newline____
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify the expression:\newline2p−p2p - p \newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n−3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoices:\newline(A)The amount of money the school charges for all `\n` tickets\newline(B)The amount of money the school spends on the dance\newline(C)The number of students who buy tickets\newline(D)The profit the school earns per ticket
Get tutor helpright-arrow

Posted 8 months ago

Question
Which is equal to cos⁡60∘ \cos 60^\circ ? \newlineChoices:\newline(A) sin⁡30∘ \sin 30^\circ \newline(B) sin⁡60∘ \sin 60^\circ \newline(C) cos⁡30∘ \cos 30^\circ \newline(D) cos⁡60∘ \cos 60^\circ
Get tutor helpright-arrow

Posted 9 months ago

Question
Which is equal to sin⁡45∘\sin 45^\circ? \newlineChoices:\newline(A) cos⁡45∘\cos 45^\circ\newline(B) cos⁡55∘\cos 55^\circ\newline(C) sin⁡55∘\sin 55^\circ\newline(D) sin⁡35∘\sin 35^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to cos⁡75∘\cos 75^\circ? \newlineChoices:\newline(A) sin⁡15∘\sin 15^\circ\newline(B) sin⁡75∘\sin 75^\circ\newline(C) cos⁡15∘\cos 15^\circ\newline(D) cos⁡25∘\cos 25^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to sin⁡30∘ \sin 30^\circ ? \newlineChoices:\newline(A) cos⁡60∘ \cos 60^\circ \newline(B) cos⁡30∘ \cos 30^\circ \newline(C) sin⁡60∘ \sin 60^\circ \newline(D) sin⁡30∘ \sin 30^\circ
Get tutor helpright-arrow

Posted 7 months ago

Question
Which is equal to cos⁡45∘ \cos 45^\circ ? \newlineChoices:\newline(A) sin⁡45∘ \sin 45^\circ \newline(B) sin⁡55∘ \sin 55^\circ \newline(C) cos⁡55∘ \cos 55^\circ \newline(D) cos⁡35∘ \cos 35^\circ
Get tutor helpright-arrow

Posted 7 months ago

View all (79)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant