a.
h = 2c - 3
b.
3h + 1.5c = 201
c.
We have a system of equations from part a and b.
h = 2c - 3 (equation 1)
3h + 1.5c = 201 (equation 2)
We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28
Plug this value back in equation 1 to get
h = 2c - 3
>> h = 2(28) - 3 = 56 - 3 = 53
So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.
Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:

Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72
Answer:-10
Step-by-step explanation:
6* -3 is -18 then add 8 to get y= -10