Write an equation of the line and interpret the slope.​

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.