select the correct answer.

dudley is biking. he wants to cover 40 miles. if he travels 30 miles every 2 hours, what is the equation of a line that models $y$, the number of miles he has left to travel, after biking $x$ hours?

$y = -15x - 40$
$y = -30x + 40$
$y = -15x + 40$
$y = 30x - 40$

Question

select the correct answer.

dudley is biking. he wants to cover 40 miles. if he travels 30 miles every 2 hours, what is the equation of a line that models $y$, the number of miles he has left to travel, after biking $x$ hours?

$y = -15x - 40$
$y = -30x + 40$
$y = -15x + 40$
$y = 30x - 40$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Unit Rates" ], "new_concepts": [ "Linear Modeling" ], "current_concepts": [ "Unit Rates", "Linear Modeling" ] } ## Calculate the rate of travel $$ \text{Rate} = \frac{30\text{ miles}}{2\text{ hours}} = 15\text{ miles per hour} $$ ## Formulate the linear equation $$ \begin{aligned} &\text{Initial distance} = 40\ &\text{Distance traveled in } x \text{ hours} = 15x\ &y = 40 - 15x\ &y = -15x + 40 \end{aligned} $$

$y = -15x - 40$

$y = -30x + 40$

$y = -15x + 40$

$y = 30x - 40$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Modeling" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate the rate of travel

Formulate the linear equation

Answer: