writing linear function rules using events

a water tank starts with 100 gallons of water and is being filled at a rate of 5 gallons per minute. write a linear function rule that represents the total amount of water in the tank, y, after x minutes.

slope-intercept form
$y = mx + b$

$y = ?x + \box$

Question

writing linear function rules using events

a water tank starts with 100 gallons of water and is being filled at a rate of 5 gallons per minute. write a linear function rule that represents the total amount of water in the tank, y, after x minutes.

slope-intercept form
$y = mx + b$

$y = ?x + \box$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Linear Function Rules" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Linear Function Rules" ] } ## Identify the rate of change and initial value $$ \begin{aligned} m &= 5 \ b &= 100 \end{aligned} $$ ## Substitute values into slope-intercept form $$ \begin{aligned} y &= mx + b \ y &= 5x + 100 \end{aligned} $$ A water tank starts with 100 gallons of water and is being filled at a rate of 5 gallons per minute. Write a linear function rule that represents the total amount of water in the tank, y, after x minutes. $y =$ 5$x +$ 100 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Function Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the rate of change and initial value

Substitute values into slope-intercept form

Answer: