Answer:
see below
Step-by-step explanation:
Let x = tootsie rolls
y = lollipops
Toosie rolls are 3 dollars and lollipops are $5 and you only have 30 dollars.
3x+5y =30
To find the x intercept, set y=0 and solve for x
3x +0 = 30
3x = 30
Divide by 3
3x/3 = 30/3
x = 10
The x intercept is 10. This means if you get no lollipops, you can have ten tootsie rolls.
To find the y intercept, set x=0 and solve for y
0 +5y = 30
5y = 30
Divide by 5
5y/5 = 30/5
x = 6
The y intercept is 6. This means if you get no tootsie rolls you can have 6 lollipops.
To find the slope, solve the equation for y
3x+5y =30
Subtract 3x from each side
3x-3x+5y = -3x+30
5y = -3x+30
Divide by 5
y = -3/5 x +30/5
y = -3/5 x +6
The slope is -3/5. For every three less lollipops you get, you can have 5 more tootsie rolls.
If you have $45 dollars instead of 30, this will change the x and y intercepts, but not the slope.
3x+5y =45
To find the x intercept, set y=0 and solve for x
3x +0 = 45
3x = 45
Divide by 3
3x/3 = 45/3
x = 15
The x intercept is 15. This means if you get no lollipops, you can have 15 tootsie rolls.
To find the y intercept, set x=0 and solve for y
0 +5y = 45
5y = 45
Divide by 5
5y/5 = 45/5
x = 9
The y intercept is 9. This means if you get no tootsie rolls you can have 9 lollipops.
To find the slope, solve the equation for y
3x+5y =45
Subtract 3x from each side
3x-3x+5y = -3x+45
5y = -3x+45
Divide by 5
y = -3/5 x +45/5
y = -3/5 x +9
The slope is -3/5. For every three less lollipops you get, you can have 5 more tootsie rolls.
