Question

write an equation to represent the word problem. then solve it.
if you double the cost of a dietitian’s apron and then add $1, you will get the cost of a tailored dietitian’s jacket. a dietitian’s apron costs $13.50. how much will each dietitian’s tailored jacket cost?

the equation is \\(\square\\).
(type an equation using x as the variable. do not evaluate. do not include the $ symbol in your answer.)

the dietitian’s tailored jacket will cost $\square\\.

Explanation:

Step1: Define variable and equation

Let \( x \) be the cost of the tailored jacket. The apron costs \( 13.50 \), double it is \( 2\times13.50 \), add \( 1 \) to get \( x \). So equation: \( x = 2\times13.50 + 1 \) (or \( x = 2\times13.5 + 1 \))

Step2: Solve the equation

Calculate \( 2\times13.50 = 27 \), then \( 27 + 1 = 28 \)

Answer:

The equation is \( x = 2\times13.5 + 1 \) (or \( x = 2\times13.50 + 1 \)).
The dietitian’s tailored jacket will cost \(\$28\).