Lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies. He models the cost, in dollars, of having Phil's Appliances handle the repair job, requiring x hours of labor, with function p. P(x) = 68 x + 81.

He models the cost of having Quality Electric handle the same repair with function 9: q(x) = 51x+ 90.

The function ___ represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil's Appliances.

Lionel will save $___ if he uses Quality Electric for a repair needing 2 hours of labor.

Answers for blank #1
1. s(x)=17x-9
2. s(x)=17x+9
3. s(x)=17x+171
4. s(x)=119x+171

Answers for blank #2
1. 409
2. 205
3. 44
4. 18
5. 25

a

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

x = 12

y = 1

for the points!