Parker drank one glass of chocolate milk and ate (x) cookies for a snack. The linear equation below represents the total number of calories in Parker's snack (y).
y=20x+238
a) What is the y-intercept of the line represented by this equation? (Value: 1 pt)
b) Explain what the y-intercept tells us about Parker's snack.
c) What is the slope of the line represented by this equation?
d) Explain what the slope tells us about Parker's snack.
e) If Parker eats 7 cookies (Hey he's hungryl), what is the total number of calories in his snack?
a) The y-intercept of the line represented by the equation y=20x+238 is 238.
b) The y-intercept of 238 tells us that even if Parker didn't eat any cookies (x=0), the total number of calories in his snack would still be 238, which represents the calories in the glass of chocolate milk he drank.
c) The slope of the line represented by the equation is 20.
d) The slope of 20 tells us that for every additional cookie Parker eats, the total number of calories in his snack increases by 20.
e) If Parker eats 7 cookies, we would substitute x=7 into the equation y=20x+238 to find the total number of calories in his snack:
y = 20(7) + 238
y = 140 + 238
y = 378
Therefore, if Parker eats 7 cookies, the total number of calories in his snack would be 378.