For this case, the first thing we must do is define a variable:
g: number of gallons of gas.
c (g): total cost.
We then have a linear function of the form:
c (g) = 2.19 * g
Answer:
A function notation to describe the relationship between the total cost c (g) and the number of gallons purchased is:
c (g) = 2.19 * g
Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
Angle c and angle d are congruent. Congruent means they have the same the measure, or they have EQUAL measures. You set the two values equal to each other and solve for x.
X+26=2x-10 subtract x from both sides
26=x-10 add 10 to both sides
36=x
Now substitute x back in for angle d.
2(36)-10 = 62
