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.

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

Step-by-step explanation:

We know that the equation of a line in intercept form is given by :-

, where m is the slope and c is the y-intercept.           (i)

Given : 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 :-

When we compare it to (i), we get

m=-0.5 and c=4.0

It means the slope is -0.5 and the function is starting at 4.0 and the GPA will decrease by 0.5 for every text sent in class (since its negative).

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500