Question

c 0.8
d 1.25

question 3 (1 point)
(05.07 mc)
sloane believes there is a correlation between the number of texts sent in class and gpa. she collected data and found that the line of best fit for the data can be modeled by the equation $y = 4.0 - 0.5x$.
identify and interpret the slope in this scenario.
a the slope is -4.0. starting at 0.5, the gpa will decrease by 4.0 for every text sent in class.
b the slope is -0.5. starting at 4.0, the gpa will decrease by 0.5 for every text sent in class.
c the slope is 4.0. starting at 0.5, the gpa will increase by 4.0 for every text sent in class.
d the slope is 0.5. starting at 4.0, the gpa will increase by 0.5 for every text sent in class.

question 4 (1 point)
(05.07 lc)
sara wanted to gather data about the cost of local gyms in her area. she plotted the data and determined that the average gym costs consist of a one- modeled by the equation $y = 10x + 30$.

Explanation:

The line of best fit follows the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For the equation $y = 4.0 - 0.5x$, this can be rewritten as $y = -0.5x + 4.0$, so the slope $m = -0.5$ and the starting GPA (y-intercept) is 4.0. A negative slope means GPA decreases as the number of texts (x) increases, by 0.5 per text.

Answer:

b. The slope is -0.5. Starting at 4.0, the GPA will decrease by 0.5 for every text sent in class.