select the correct answer.

a florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. he used a graphing tool to organize the data in a scatter plot, with $x$ representing the number of home deliveries and $y$ representing the number of deliveries to businesses. then he used the graphing tool to find the equation of the line of best fit:

\y = 0.555x + 1.629\

based on the line of best fit, approximately how many deliveries are predicted to be made to homes during a week with 50 deliveries to businesses?

- 29
- 81
- 87
- 93

Question

select the correct answer.

a florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. he used a graphing tool to organize the data in a scatter plot, with $x$ representing the number of home deliveries and $y$ representing the number of deliveries to businesses. then he used the graphing tool to find the equation of the line of best fit:

\y = 0.555x + 1.629\

based on the line of best fit, approximately how many deliveries are predicted to be made to homes during a week with 50 deliveries to businesses?

- 29
- 81
- 87
- 93

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Line of Best Fit Prediction" ], "new_concepts": [], "current_concepts": [ "Line of Best Fit Prediction", "Bivariate Data Analysis" ] } ## Identify variables and given values $$ \begin{aligned} &x: \text{number of home deliveries} \ &y: \text{number of business deliveries} \ &\text{Equation: } y = 0.555x + 1.629 \ &\text{Given: } y = 50 \end{aligned} $$ ## Solve for the target variable $$ \begin{aligned} 50 &= 0.555x + 1.629 \ 0.555x &= 50 - 1.629 \ 0.555x &= 48.371 \ x &= \frac{48.371}{0.555} \ x &\approx 87.16 \end{aligned} $$ ## Match with the closest option $$ x \approx 87 $$

(A) 29

(B) 81

(C) 87

(D) 93

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Line of Best Fit Prediction" ] }

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QUESTION IMAGE

Question

Explanation:

Identify variables and given values

Solve for the target variable

Match with the closest option

Answer: