Answer:
The rental cost for Company A and Company B will be the same after 500 miles
Step-by-step explanation:
The total cost of renting a truck from Company A can be expressed as;
Total rental cost(Company A)=Cost per day+Total rate
where;
Cost per day=70
Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m
replacing;
Total rental cost(Company A)=70+0.5 m...equation 1
2. The total cost of renting a truck from Company B can be expressed as;
Total rental cost(Company B)=Cost per day+Total rate
where;
Cost per day=20
Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m
replacing;
Total rental cost(Company B)=20+0.6 m...equation 2
Equating equation 1 to equation 2
70+0.5 m=20+0.6 m
0.6 m-0.5 m=70-20
0.1 m=50
m=50/0.1
m=500 miles
The rental cost for Company A and Company B will be the same after 500 miles
1. 21,150
2. 2.5193
3. 27.98
4. 11,100
Parallel to the y axis...that would mean that it is a vertical line.
The equation would be : x = 4 and it would have an undefined slope
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
10 2/3 inches=32/3 inches
8 3/4 inches= 35/4 inches
Find the common denominator, in this case, 12.
128/12 inches is Carla's plant
105/12 inches is Yolanda's plant.
128/12 > 105/12. Therefore, Carla's plant is taller than Yonlanda's