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Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. a linear equation that expresses the total amount of money jamie earns per house is y=70+40x. what are the independent and dependent variables? what is the y-intercept and the slope?

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zionknyc

Answer:

Explanation:

(a. The independent variable is 40x. Independent variable: Not influenced by the changing of other factors, can be denoted by x

(b. The dependent  variable is 70; it has no x values with it.

(C. the y intercept is 70, because again, it has no x besides it , and also, with the formula y=mx+b, b has to just be a number.

(d. The slope is 40 because its placed where the "m" is in the formula.

y=mx+b

y= SLOPEx+ y intercept

slope times x  plus the y intercept

m= slope

b= y intercept

Hope this helps :)) Brainliest  would be appreciated as i put some effort into this thanks :D

jaxalan507
hi just wanted to fix some things from the previous answer:

the independent variable is the quantity that changes independently and is the value that controls the change in the dependent variable. 40x is a term that includes the independent variable, but it is wrong to say that it is the independent variable. the independant variable actually is hours, since when we change the amount of hours (x), we therefore change the outcome of the equation. the independent variable is always denoted by a single variable.

for the dependent variable, it is the value that change ls because of the change in the independent variable. in this case, dollars (y) is the quantity that changes because of the change in "x".

and just because a number does not have x attached to it does not mean to that it is the y intercept, but in this case, you are correct in the fact that 70 does happen to be the y-intercept, but a number is only a y-intercept when x is set to zero in an equation and then the equation is evaluated.

thirdly, you are correct on the slope because it is the coefficient of x in a linear equation, therefore making it the slope.

in the slope intercept form for a linear equation (y = mx + b), y is the dependent variable, m is the slope, x is the independent variable (not mx) and, and the y-intercept is b

so dependent is dollars (y), the slope is 40 (m), the independent is time (x), and the y-intercept is 70 (b).

thanks!

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