(8) The first number is equal to 3 times the second. The difference of the two
numbers is 78. Find both numbers.

117 and 39

Step-by-step explanation:

let x be the second number then 3x is the first number , then

3x - x = 78

2x = 78 ( divide both sides by 2 )

x = 39 and 3x = 3 × 39 = 117

The first number is 117 and the second is 39

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)