Question

1. which situation does not describe a causal relationship?

(1) the higher the volume on a radio, the louder the sound will be.
(2) the faster a student types a research paper, the more pages the paper will have.
(3) the shorter the distance driven, the less gasoline that will be used.
(4) the slower the pace of a runner, the longer it will take the runner to finish the race.

1. the table below shows the number of grams of

carbohydrates, x, and the number of calories, y, of six
different foods.
which equation best represents the line of best fit for
this set of data?
(1) y = 15x
(2) y = 0.07x
(3) y = 0.1x - 0.4
(4) y = 14.1x + 5.8

1. jenna took a survey of her senior class to see

whether they preferred pizza or burgers. the
results are summarized in the table below.
of the people who preferred burgers,
approximately what percentage were female?
(1) 21.3
(2) 38.2
(3) 45.6
(4) 61.9

1. bella recorded data and used her graphing calculator to find the equation for the line of

best fit. she then used the correlation coefficient to determine the strength of the linear fit.
which correlation coefficient represents the strongest linear relationship?
(1) 0.9
(2) 0.5
(3) -0.3
(4) -0.8

Explanation:

Step1: Calculate the total number of people who preferred burgers

Add the number of males and females who preferred burgers: \(42 + 26=68\)

Step2: Calculate the percentage of females who preferred burgers

Use the formula \(\text{Percentage}=\frac{\text{Number of females who preferred burgers}}{\text{Total number of people who preferred burgers}}\times100\). Substitute the values: \(\frac{26}{68}\times100\approx38.2\)

Answer:

(2) 38.2