Jarred wants to buy a go-cart for $1,200. his part-time job pays him $160 a week. he has already saved $400. which inequality represents the minimum number of weeks (w) he needs to work, in order to have enough money to buy the go-cart?

a) 400 + 160w ≤ 1200
b) 400 + 160w ≥ 1200
c) 400w + 160w ≤ 1200
d) 400w + 160w ≥ 1200

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

77

step-by-step explanation:

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.