Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customer’s house and $65 per hour, h
, for the job. This is modeled by 65h+100
. Evaluate for h=3
to find how much Alicia will earn for a job that takes 3 hours.(1 point)
To find how much Alicia will earn for a job that takes 3 hours, we substitute h=3 into the equation:
65h + 100
= 65(3) + 100
= 195 + 100
= 295
Therefore, Alicia will earn $295 for a job that takes 3 hours.
A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds. Evaluate for t=2
by using the formula 75−16t2
, where t
is time in seconds. (1 point)
To find the number of feet the diver is above the ocean in 2 seconds, we substitute t=2 into the equation:
75 - 16t^2
= 75 - 16(2)^2
= 75 - 16(4)
= 75 - 64
= 11
Therefore, the diver is 11 feet above the ocean in 2 seconds.
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50(2l+2w)
, where l
is the length and w
is the width of her garden, to find the cost for a garden that has a length of 4 yards and a width of 3 yards.(1 point)
To find the cost for a garden that has a length of 4 yards and a width of 3 yards, we substitute l=4 and w=3 into the equation:
1.50(2l + 2w)
= 1.50(2(4) + 2(3))
= 1.50(8 + 6)
= 1.50(14)
= 21
Therefore, the cost for a garden with a length of 4 yards and a width of 3 yards is $21.
To find out how much Alicia will earn for a job that takes 3 hours, we can substitute h = 3 into the expression 65h + 100.
Earnings = 65h + 100
Earnings = 65(3) + 100
Now, we can calculate:
Earnings = 195 + 100
Earnings = $295
Therefore, Alicia will earn $295 for a job that takes 3 hours.
To evaluate the expression 65h + 100 when h = 3, we substitute the value of h into the expression and simplify:
65h + 100
= 65(3) + 100
= 195 + 100
= 295
Therefore, if the job takes 3 hours, Alicia will earn $295.